A vector A, which has magnitude 8.0 is added to a vector B which lies on the x-axis. The sum of these two vectors lies on the y-axis and has a magnitude twice the magnitude of B. The magnitude of the vector B

1.  8

2.  2 × 8

3.  85

4.  85

Subtopic:  Resultant of Vectors |
 61%
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If A = 2i^ + 3j^ + 6k^ and B = 3i^ + 2j^ - k^, then the unit vector in the direction of A + B is

1.  i^ - j^ - k^3

2.  i^ + j^ - k^3

3.  i^ + j^ + k^3

4.  i^ - j^ + k^3

Subtopic:  Resultant of Vectors |
 70%
From NCERT
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The forces F1 and F2 are acting perpendicular to each other at a point and have resultant R. If force F2 is replaced by R2 - F12F2 acting in the direction opposite to that of F2, the magnitude of resultant

(1) Becomes half

(2) Becomes double

(3) Becomes one third

(4) Remains the same

Subtopic:  Resultant of Vectors |
 69%
From NCERT
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A force of \(20\) N acts on a particle along a direction, making an angle of \(60^\circ\) with the vertical. The component of the force along the vertical direction will be:

1. \(2\) N 2. \(5\) N
3. \(10\) N 4. \(20\) N
Subtopic:  Resolution of Vectors |
 89%
From NCERT
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If A and B are two vectors inclined to each other at an angle θ, then the component of A perpendicular to B and lying in the plane containing A and B will be:

1.  A.BB2B

2.  A - A.BB2B

3.  A - B

4.  A + B

Subtopic:  Scalar Product |
 50%
From NCERT
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If A  B and A × B = A · B, then 

1.  A  B

2.  A  B

3.  A is antiparallel to B

4.  A is inclined to B at an angle of 45°

Subtopic:  Vector Product |
 71%
From NCERT
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If R is the resultant of two vectors A and B and R' is the difference in them, and R = R', then:

(1) A  B

(2) A  B

(3) A is antiparallel to B

(4) A makes an angle of 120° with B

Subtopic:  Resultant of Vectors |
 71%
From NCERT
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Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:

1. North-East

2. North-West

3. South-West

4. South-East

Subtopic:  Resultant of Vectors |
 74%
From NCERT
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Given are two vectors,  A= (2i^ - 5j^ + 2k^) and B = (4i^ - 10j^ + ck^). What should be the value of c so that vector A and B would become parallel to each other?

1.  1

2.  2

3.  3

4.  4

Subtopic:  Vector Product |
 70%
From NCERT
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Given below are two statements: 

Statement I: Three vectors equal in magnitude cannot produce zero resultant.
Statement II: Minimum four vectors are required to produce zero resultant.
 
1. Statement I is false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.
Subtopic:  Resultant of Vectors |
From NCERT
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