For the figure –

A force of 6 kg and another of 8 kg can be applied together to produce the effect of a single force of-

Which of the sets given below may represent the magnitudes of three vectors adding to zero ?

Two forces of 4 dyne and 3 dyne act upon a body. The resultant force on the body can only be –

A force of 6 kg and another of 8 kg can be applied together to produce the effect of a single force of-

Which of the sets given below may represent the magnitudes of three vectors adding to zero ?

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angle between them if the magnitude of the resultant is - 

(i) 1 unit                (ii) 5 unit           (iii) 7 unit

In a two dimensional motion of a particle, the particle moves from point A, position vector r1 to point B position vector r2. If the magnitude of these vector are respectively r1 = 3 and r2 = 4 and the angle they make with the x-axis are q1 = 75º, q2 = 15º respectively, then magnitude of the displacement vector is-

A blind person after walking 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by 90º. After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

If the angle between vector a and b is an acute angle, then the difference a – b is -

What is the resultant of three coplanar forces: 300 N at 0°, 400 N at 30º and 400 N at 150º ?

Two forces, F1 and F2 are acting on a body. One force is double that of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

If the magnitudes of the vectors A, B and C are 6, 8, 10 units respectively and if A + B = C, then the angle between A and C is - 

Angle between (P + Q) and (P – Q) will be-

If A = B + C and magnitudes of A, B and C are 5, 4, and 3 units respectively, the angle between A and C is -

A particle is moving in a circle of radius r centre at O with constant speed v the change in velocity moving from A to B (ÐAOB = 40º) is -

A truck travelling due north with 20 m/s turns towards west and travels at the same speed. Then the change in velocity is -

A child pulls a box with a force of 200 N at an
angle of 60º above the horizontal. Then the
horizontal and vertical components of the force

A boy wants to hold a 50 kg box at rest on a
snow covered hill. The hill makes an angle of
30º with the horizontal. What force the boy
must exert parallel to the slope ?

The value of a unit vector in the direction of
vector A = 5 iˆ
– 12 jˆ
, is -

In the accompanying diagram W1 is 5 kg
weight and W2 is 3 kg weight. If the
component of W1 parallel to the incline is
equal to W2, then the angle  is nearly-

Two constant forces F1 = 2 iˆ
– 3 jˆ
+ 3 kˆ
(N)

and F2 = iˆ
+ jˆ
– 2 kˆ
(N) act on a body and

displace it from the position r1= iˆ
+ 2 jˆ
– 2 kˆ

(m) to the position r2 = 7 iˆ
+ 10 jˆ
+ 5 kˆ
(m).

What is the work done ?

Two vectors A and B lie in X-Y plane. The
vector B is perpendicular to vector A. If
A = iˆ
+ jˆ
, then B may be -

The two vectors A = kˆ
3jˆ
iˆ
2
and

B = kˆ
3jˆ
5iˆ
7
are -

Two vectors P = kˆ
2jˆ
biˆ
2
and kˆ
jˆ
iˆ
Q

will be perpendicular if -

A vector perpendicular to )jˆ
3iˆ
4(
is –

Angle that the vector A = 2 iˆ
+ 3 jˆ
makes with

y-axis is –

A vector A points. vertically upward and, B
points towards north. The vector product A × B
is-

The linear velocity of a rotating body is given
by v =  × r, where  is the angular velocity
and r is the radius vector. The angular velocity
of a body  = kˆ2jˆ2iˆ

and their radius

vector r = 4 jˆ
– 3 kˆ
, |v| is -

0.4 iˆ
+ 0.8 jˆ
+ c kˆ
represents a unit vector,

when c is -

A vector is not changed if -

The component of a vector is -

If A

= B
+ C

and the magnitudes B,A
and

C

are 5, 4 and 3 units, the angle between
A

and C

is-

The resultant of A
and B
makes an angle 

with A
and  with B
, then -

A person moves 30 m north, then 20 m east then
30 2 m south-west . His displacement from the
original position -

I started walking down a road to day-break
facing the sun. After walking for some-time, I
turned to my left, then I turned to the right once
again. In which direction was I going then ?

Minimum number of unequal forces whose
vector sum can equal to zero is -

How many minimum number of vectors in
different planes can be added to give zero
resultant

Following sets of three forces act on a body.
Whose resultant cannot be zero ?

Following forces start acting on a particle at
rest at the origin of the co-ordinate system
simultaneously

If |B||A||BA|


, the angle between A


and B
is -

The vector A
and B
are such that-

BABA

(A) 0BA

The vector sum of N coplanar forces, each of
magnitude F, when each force is making an
angle of N
2
with that preceding it, is -

In an equilateral ABC, AL, BM and CN are
medians. Forces along BC and BA
represented by them will have a resultant
represented by -

Two forces each of magnitude F have a
resultant of the same magnitude F. The angle
between the two forces is -

A particle is moving on a circular path with
constant speed v. What is the change in its
velocity after it has described an angle of 60º ?

Which of the following sets of displacements
might be capable of returning a car to its
starting point ?

The magnitude of the vector product of two
vectors A
and B
may be -

(a) Greater than AB (b) Equal to AB
(c) Less than AB (d) Equal to Zero

B.A
= 0 and C.A

= 0. The vector A

is parallel

to -

The angle between the two vectors

kˆ
jˆ
3iˆ
2

and kˆ
4jˆ
2iˆ

is -