1
Yakeen NEET 2.0 (2024)
Vector Assignment - 01
What is Vector it’s Type and Properties (1) P/2 (2) P/4
(3) P (4) 2P
1. Which of the following is not a vector quantity?
(1) Weight (2) Nuclear spin
7. The resultant of two forces 3P and 2P is R. If the first
(3) Momentum (4) Potential energy
force is doubled then the resultant is also doubled.
The angle between the two forces is
Addition Law of Vectors, It’s Operation and
(1) 90º (2) 180º
Projection of Vector. (3) 60º (4) 120º
2. A and B are vectors such that A + B = A − B .
8. Three forces F1, F2 and F3 together keep a body in
Then, the angle between them is
(1) 90º (2) 60º equilibrium. If F1 = 3 N along the positive x– axis,
(3) 45º (4) 0º F2 = 4 N along the positive y-axis, then the third force
F3 is
3
3. When two vectors A and B of magnitude a and b (1) 5 N making an angle = tan −1 negative
are added, the magnitude of the resultant vector is 4
always. y-axis
(1) equal to (a + b) 4
(2) less than (a + b) (2) 5 N making an angle = tan −1 with
3
(3) greater than (a + b)
negative y-axis
(4) not greater than (a + b)
3
(3) 7 N making an angle = tan −1 with
4. A vector Q which has a magnitude of 8 is added to 4
negative y- axis
the vector P, which lies along the X-axis.
4
The resultant of these two vectors is a third vector R, (4) 7 N making an angle = tan −1 with
3
which lies along the Y-axis and has a magnitude negative y-axis
twice that of P . The magnitude of is
6 8 9. Magnitudes of four pairs of displacement vectors are
(1) (2)
5 5 given. Which pair of displacement vectors, under
12 16 vector addition, fails to give a resultant vector of
(3) (4) magnitude 3 cm?
5 5
(1) 2 cm, 7 cm (2) 1 cm, 4 cm
(3) 2 cm, 3 cm (4) 2 cm, 4 cm
5. Angle (in rad) made by the vector 3iˆ + ˆj with the X-
axis: 10. The sum of two vectors A and B is at right angles
(1) /6 (2) /4 to their difference. Then
(3) /3 (4) /2 (1) A = B
(2) A = 2B
6. Two equal forces (P each) act at a point inclined to (3) B = 2A
each other at an angle of 120º. The magnitude of their
(4) A and B have the same direction
resultant is:
, 2
11. The vectors A and B are such that 17. The angle between two vectors A and B is .
Vector R is the resultant of the two vectors. If R
A+ B = A− B
makes an /2 with A, then
The angle between the two vectors is (1) A = 2B (2) A = B/2
(1) 60º (2) 75º (3) A = B (4) AB = 1
(3) 45º (4) 90º
18. A = 4iˆ + 3 ˆj and B = 4iˆ + 2 ˆj . Find a vector parallel
12. The vector sum of two forces is perpendicular to their
vector differences. In that case, the forces to A but has magnitude five times that of B .
(1) are not equal to each other in magnitude (1) 20(2iˆ + 3 ˆj ) (2) 20(4iˆ + 3 ˆj )
(2) cannot be predicted (3) 20(2iˆ + ˆj ) (4) 10(2iˆ + ˆj )
(3) are equal to each other
(4) are equal to each other in magnitude
19. Given that A+ B = R and A2 + B2 + R2 . The angle
13. The sum of two vectors A and B is at right angles between A and B is
to their difference. this is possible if (1) 0 (2) /4
(1) A = 2B (2) A = B (3) /4 (4)
(3) A = 3B (4) B = 2A
20. The two vectors A and B are draw from a common
14. Two forces each of magnitude 'P' act at right angles.
Their effect is neutralized by a third force acting point and C = A+ B , then angle between A and B
along their bisector in opposite direction. is
The magnitude of the third force is (i) 90º if C2 = A2 + B2
(ii) Greater than 90º if C2 < A2 + B2
cos 2 = 0 (iii) Greater than 90º if C2 > A2 + B2
P (iv) Less than 90º if C2 > A2 + B2
(1) P (2) Correct option are–
2
(1) 1, 2 (2) 1, 2, 3, 4
(3) 2P (4) P/2 (3) 2, 3, 4 (4) 1, 2, 4
15. In the given diagram, if PQ = A, QR = B and
21. If a vector A having a magnitude of 8 is added to a
RS = C, then PS equals
vector B which lies along x-axis, then the resultant of
two vectors lies along y-axis and has magnitude twice
that of B. The magnitude of B is
6 12
(1) (2)
5 5
16 8
(1) A – B + C (2) A + B – C (3) (4)
5 5
(3) A + B + C (4) A – B – C
22. It two forces each of 2N are inclined at 60º, then
16. The sum of magnitudes of two forces acting at a point resultant force is:
is 16 N and their resultant 8 3 N is at 90º with the (1) 2 N
force of smaller magnitude. The two forces (in N) are (2) 2 5 N
(1) 11, 5 (2) 2, 14
(3) 2 3 N
(3) 4, 12 (4) 6, 10
(4) 4 2 N
Yakeen NEET 2.0 (2024)
Vector Assignment - 01
What is Vector it’s Type and Properties (1) P/2 (2) P/4
(3) P (4) 2P
1. Which of the following is not a vector quantity?
(1) Weight (2) Nuclear spin
7. The resultant of two forces 3P and 2P is R. If the first
(3) Momentum (4) Potential energy
force is doubled then the resultant is also doubled.
The angle between the two forces is
Addition Law of Vectors, It’s Operation and
(1) 90º (2) 180º
Projection of Vector. (3) 60º (4) 120º
2. A and B are vectors such that A + B = A − B .
8. Three forces F1, F2 and F3 together keep a body in
Then, the angle between them is
(1) 90º (2) 60º equilibrium. If F1 = 3 N along the positive x– axis,
(3) 45º (4) 0º F2 = 4 N along the positive y-axis, then the third force
F3 is
3
3. When two vectors A and B of magnitude a and b (1) 5 N making an angle = tan −1 negative
are added, the magnitude of the resultant vector is 4
always. y-axis
(1) equal to (a + b) 4
(2) less than (a + b) (2) 5 N making an angle = tan −1 with
3
(3) greater than (a + b)
negative y-axis
(4) not greater than (a + b)
3
(3) 7 N making an angle = tan −1 with
4. A vector Q which has a magnitude of 8 is added to 4
negative y- axis
the vector P, which lies along the X-axis.
4
The resultant of these two vectors is a third vector R, (4) 7 N making an angle = tan −1 with
3
which lies along the Y-axis and has a magnitude negative y-axis
twice that of P . The magnitude of is
6 8 9. Magnitudes of four pairs of displacement vectors are
(1) (2)
5 5 given. Which pair of displacement vectors, under
12 16 vector addition, fails to give a resultant vector of
(3) (4) magnitude 3 cm?
5 5
(1) 2 cm, 7 cm (2) 1 cm, 4 cm
(3) 2 cm, 3 cm (4) 2 cm, 4 cm
5. Angle (in rad) made by the vector 3iˆ + ˆj with the X-
axis: 10. The sum of two vectors A and B is at right angles
(1) /6 (2) /4 to their difference. Then
(3) /3 (4) /2 (1) A = B
(2) A = 2B
6. Two equal forces (P each) act at a point inclined to (3) B = 2A
each other at an angle of 120º. The magnitude of their
(4) A and B have the same direction
resultant is:
, 2
11. The vectors A and B are such that 17. The angle between two vectors A and B is .
Vector R is the resultant of the two vectors. If R
A+ B = A− B
makes an /2 with A, then
The angle between the two vectors is (1) A = 2B (2) A = B/2
(1) 60º (2) 75º (3) A = B (4) AB = 1
(3) 45º (4) 90º
18. A = 4iˆ + 3 ˆj and B = 4iˆ + 2 ˆj . Find a vector parallel
12. The vector sum of two forces is perpendicular to their
vector differences. In that case, the forces to A but has magnitude five times that of B .
(1) are not equal to each other in magnitude (1) 20(2iˆ + 3 ˆj ) (2) 20(4iˆ + 3 ˆj )
(2) cannot be predicted (3) 20(2iˆ + ˆj ) (4) 10(2iˆ + ˆj )
(3) are equal to each other
(4) are equal to each other in magnitude
19. Given that A+ B = R and A2 + B2 + R2 . The angle
13. The sum of two vectors A and B is at right angles between A and B is
to their difference. this is possible if (1) 0 (2) /4
(1) A = 2B (2) A = B (3) /4 (4)
(3) A = 3B (4) B = 2A
20. The two vectors A and B are draw from a common
14. Two forces each of magnitude 'P' act at right angles.
Their effect is neutralized by a third force acting point and C = A+ B , then angle between A and B
along their bisector in opposite direction. is
The magnitude of the third force is (i) 90º if C2 = A2 + B2
(ii) Greater than 90º if C2 < A2 + B2
cos 2 = 0 (iii) Greater than 90º if C2 > A2 + B2
P (iv) Less than 90º if C2 > A2 + B2
(1) P (2) Correct option are–
2
(1) 1, 2 (2) 1, 2, 3, 4
(3) 2P (4) P/2 (3) 2, 3, 4 (4) 1, 2, 4
15. In the given diagram, if PQ = A, QR = B and
21. If a vector A having a magnitude of 8 is added to a
RS = C, then PS equals
vector B which lies along x-axis, then the resultant of
two vectors lies along y-axis and has magnitude twice
that of B. The magnitude of B is
6 12
(1) (2)
5 5
16 8
(1) A – B + C (2) A + B – C (3) (4)
5 5
(3) A + B + C (4) A – B – C
22. It two forces each of 2N are inclined at 60º, then
16. The sum of magnitudes of two forces acting at a point resultant force is:
is 16 N and their resultant 8 3 N is at 90º with the (1) 2 N
force of smaller magnitude. The two forces (in N) are (2) 2 5 N
(1) 11, 5 (2) 2, 14
(3) 2 3 N
(3) 4, 12 (4) 6, 10
(4) 4 2 N
