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The non­-zero vectors  are related   Then the angle between and  is

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

The vector  lies in the plane of the vectors  and  and bisects the angle between and . Then which one of the following gives possible values of  and ?

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

If  and  are unit vectors and  is the acute angle between them, then  is a unit vector for

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 58 views

The values of a, for which the points A, B, C with position vectors  and  respectively are the vertices of a right­ angled triangle at c are

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

If , where  and  any three vectors such that  then and  and  are

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

If  are non­coplanar vector and  is a real number then  for

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

Let a, b and c be distinct non­negative numbers. If the vectors  and  lie in a plane, then c is

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

Let  and 

Then  depends on

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

For any vector,  the value of  is equal to

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 50 views

If C is the mid point of AB and P is any point outside AB, then

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Anonymous User Maths Vector Algebra 11 Jul, 2020 1 Answer 60 views

Let  and  be non­-zero vectors such that  If  is the acute angle between the vectors  and   then  equals

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 56 views

Let  be such that   If the projection  along  is equal to that of  along  and ,  are perpendicular to each other then  equals

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 50 views

If  are non­-coplanar vectors and  is a real number, then the vectors  and  are non­-coplanar fo

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 51 views

A particle is acted upon by constant forces and  which displace it from a point  to the point  The work done in standard units by the forces is given by

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 50 views

Let  and  be three non-­zero vectors such that no two of these are collinear. If the vector  is collinear with  and  is collinear with  ( being some non­zero scalar) then  equals

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 52 views

 are three vectors, such that   then  is equal to 

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 52 views

The vectors  and   are the sides of a triangle ABC. The length of the median through A is

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 50 views

Let and  If  is a unit vector such that  and  then  is equal to

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 55 views

If  and  are three non-­coplanar vectors, then  equals

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Anonymous User Maths Vector Algebra 08 Jul, 2020 1 Answer 51 views

Consider A, B, C and D with position vectors    and  respctively. Then ABCD is a

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 52 views

If  then what will be ?

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 56 views

 and  are two vectors and  is a vector such that  then what is ?

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 51 views

 then

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 54 views

If |a| = 5, |b| = 4, |c| = 3 thus what will be the value of |a . b + b . c + c . a|,  given that 

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 56 views

If  are vectors show that  and  then angle between vector  and   is

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 51 views

If  are vectors such that  then what will be ?

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Anonymous User Maths Vector Algebra 07 Jul, 2020 1 Answer 50 views

A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point, Then tensions in the strings are

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 60 views

A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. What will be the angle of projection?

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 56 views

A body falling from rest under gravity passes a certain point P. It was at a distance of 400 m from P, 4 s prior to passing through P. If g = 10 m/s 2, then the height above the point P from where the body began to fall is

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 57 views

A particle has two velocities of equal magnitude inclined to each other at an angle q. If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then q is

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 57 views

A particle is projected from a point O with velocity u at an angle of 60º with the horizontal. When it is moving in a direction at right angles to its direction at O, its velocity then is given b

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 57 views

A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s 2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm/ s. Then when the lizard will catch the insect?

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 63 views

Two points A and B move from rest along a straight line with constant acceleration f and f' respectively. If A takes msec. more than B and describes n units more than B in acquiring the same speed then

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Anonymous User Maths Dynamics 06 Jul, 2020 1 Answer 61 views

A velocity 1/4 m/s is resolved into two components along OA and OB making angles 30º and 45º respectively with the given velocity. Then the component along OB is

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 61 views

A particle moves towards east from a point A to a point B at the rate of 4 km/h and then towards north from B to C at the rate of 5 km/h. If AB = 12 km andBC= 5 km, then its average speed for its journey from A to C and resultant average velocity direct from A to C are respectively

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 58 views

Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity  and the other from rest with uniform acceleration . Let  be the angle between their directions of motion. The relative velocity of the second particle with respect to the first is least after a time

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 54 views

A particle acted by constant forces  and  is displaced from the point  to the point  What will be the total work done by the forces?

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 50 views

Two stones are projected from the top of a cliff h metres high, with the same speed u so as to hit the ground at the same spot. If one of the stones is projected horizontally and the other is projected at an angle of  to the horizontal then tan equals

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 68 views

A body travels a distance s in t seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f and in the second part with constant retardation r. What will be value of t?

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 58 views

A bead of weight w can slide on the smooth circular wire in a vertical plane. The bead is attached by a light thread to the highest point of the wire and in equilibrium, the thread is taut and make an angle  with the vertical then the tension of the thread and reaction of the wire on the bead are

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Anonymous User Maths Dynamics 04 Jul, 2020 1 Answer 61 views

The resultant of two forces Pn and 3n is a force of 7n. If the direction of 3n force were reversed, the resultant would be n. What will be the value of P?

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Anonymous User Maths Statistics 01 Jul, 2020 1 Answer 61 views

ABC is a triangle, right angled at A. The resultant of the forces acting along AB, AC with magnitudes 1/AB and 1/AC respectively is the force along AD, where D is the foot of the perpendicular from A to BC. What will be the magnitude of the resultant?

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Anonymous User Maths Statistics 01 Jul, 2020 1 Answer 63 views

A and B are two like parallel forces. A couple of moment H lies in the plane of A and B and is contained with them. The resultant of A and B after combining is displaced through a distance

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Anonymous User Maths Statistics 01 Jul, 2020 1 Answer 58 views

A and B are two like parallel forces. A couple of moment H lies in the plane of A and B and is contained with them. The resultant of A and B after combining is displaced through a distance

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Anonymous User Maths Statistics 01 Jul, 2020 1 Answer 55 views

The solution of the differential equation  is

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 53 views

The degree and order of the differential equation of the family of all parabolas whose axis is x-­axis, are respectively

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 56 views

The order and degree of the differential equation  are

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 51 views

If  then the solution of the equation is

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 50 views

The differential equation representing the family of curves  where c > 0, is a parameter, is of order and degree as follows

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 53 views

The solution of the differential equation is

 

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Anonymous User Maths Differential Equations 30 Jun, 2020 1 Answer 53 views

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