Given that C = A  + B   and   C  makes an angle α with A and β with B. Which of the following options is correct?

1.  α cannot be less then β

2.  α <β, if A<B

3.  α <β, if A>B

4.  α <β, if A=B

Subtopic:  Resultant of Vectors |
 64%
From NCERT
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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 |
From NCERT
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Two forces A and B have a resultant R1. If B is doubled, the new resultant R2 is perpendicular to A. Then

1. R1=A

2. R1=B

3. R2=A

4. R2=B

Subtopic:  Resultant of Vectors |
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Assertion: The graph between P and Q is a straight line when P/Q is constant.
Reason: The straight-line graph means that P is proportional to Q or P is equal to a constant multiplied by Q.

Which one, of the following statements, is correct?
1. If both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
2. If both the assertion and the reason are true but the reason is not the correct explanation of the assertion.
3. If the assertion is true but the reason is false.
4. If the assertion and reason are both false

Subtopic:  Co-ordinate geometry |
 77%
From NCERT
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Component of 3i^+4j^ perpendicular to i^+j^ and in the same plane as that of 3i^+4j^ is:

1. 12(j^-i^)

2. 32(j^-i^)

3. 52(j^-i^)

4. 72(j^-i^)

Subtopic:  Scalar Product |
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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 |
 55%
From NCERT
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Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is 

(1) 45°

(2) 120°

(3) 150°

(4) 60°

Subtopic:  Resultant of Vectors |
 73%
From NCERT
PMT - 1990
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Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is 

(1) cos11718

(2) cos113

(3) cos123

(4) cos189

Subtopic:  Resultant of Vectors |
 69%
From NCERT
PMT - 1999
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Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and the magnitude of the resultant is 12 N. Then the magnitudes of the forces will be:

1. 12 N, 6 N

2. 13 N, 5N

3. 10 N, 8 N

4. 16 N, 2 N

Subtopic:  Resultant of Vectors |
 64%
From NCERT
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If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is 

(1) 52,  π/3

(2) 52,  π/4

(3) 52,  π/3

(4) 52,  π/4

Subtopic:  Resultant of Vectors |
 85%
From NCERT
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