Two forces, \(1\) N and \(2\) N, act along with the lines \(x=0\) and \(y=0\). The equation of the line along which the resultant lies is given by:
1. \(y-2x =0\)
2. \(2y-x =0\)
3. \(y+x =0\)
4. \(y-x =0\)

Subtopic:  Resultant of Vectors |
 54%
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If the angle between the vector A and B is  θ, the value of the product B×A.A is equal to:

1. BA2 cosθ

2. BA2 sinθ

3. BA2 sinθcosθ

4. zero

Subtopic:  Vector Product |
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Given below are two statements:
Assertion (A): The graph between \(P\) and \(Q\) is a straight line when \(\frac{P}{Q}\) is constant.
Reason (R): The straight-line graph means that \(P\) is proportional to \(Q\) or \(P\) is equal to a constant multiplied by \(Q\).
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False 
Subtopic:  Co-ordinate geometry |
 78%
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Two forces are such that the sum of their magnitudes is \(18~\text{N}\) and their resultant is perpendicular to the smaller force and the magnitude of the resultant is \(12~\text{N}\). Then the magnitudes of the forces will be:
1. \(12~\text{N}, 6~\text{N}\)
2. \(13~\text{N}, 5~\text{N}\)
3. \(10~\text{N}, 8~\text{N}\)
4. \(16~\text{N}, 2~\text{N}\)

Subtopic:  Resultant of Vectors |
 65%
From NCERT
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If the magnitude of the sum of two vectors is equal to the magnitude of the difference between the two vectors, the angle between these vectors is:
1. \(90^{\circ}\)
2. \(45^{\circ}\)
3. \(180^{\circ}\)
4. \(0^{\circ}\)

Subtopic:  Resultant of Vectors |
 82%
From NCERT
NEET - 2016
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Six vectors \(\overrightarrow a ~\text{through}~\overrightarrow f\) have the directions as indicated in the figure. Which of the following statements may be true?

      
1. \(\overrightarrow b + \overrightarrow c = -\overrightarrow f\)
2. \(\overrightarrow d + \overrightarrow c = \overrightarrow f\)
3. \(\overrightarrow d + \overrightarrow e = \overrightarrow f\)
4. \(\overrightarrow b + \overrightarrow e = \overrightarrow f\)

Subtopic:  Resultant of Vectors |
 65%
From NCERT
NEET - 2010
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In the given figure

 

1. Angle between \(\overrightarrow {A}\) and \(\overrightarrow {B}\) is  \(110^{\circ}\)
2. Angle between \(\overrightarrow {C}\) and \(\overrightarrow {D}\) is  \(60^{\circ}\)
3. Angle between \(\overrightarrow {B}\) and \(\overrightarrow {C}\) is  \(110^{\circ}\)
4. Angle between \(\overrightarrow {B}\) and \(\overrightarrow {C}\) is  \(70^{\circ}\)
Subtopic:  Resultant of Vectors |
 69%
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A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

(1)  1 N

(2)  11 N

(3)  15 N

(4)  20 N

Subtopic:  Resultant of Vectors |
 71%
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Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

(1)  2, 4, 8

(2)  4, 8, 16

(3)  1, 2, 1

(4)  0.5, 1, 2

Subtopic:  Resultant of Vectors |
 73%
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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 90°. After walking a total of 40 steps the maximum possible displacement of the person from his starting position could be -

(1)  320 m

(2)  32 m

(3)  16/2 m

(4)  162 m

Subtopic:  Resultant of Vectors |
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