If a, b and c are three non-zero vectors such that a+b+c=0, then the value of a.b+b.c+c.a will be:

1.  Less than zero

2.  equal to zero

3.  greater than zero

4.  3

Subtopic:  Scalar Product |
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Two vectors a and b inclined at an angle θ with respect to each other have a resultant c which makes an angle β with a. If the directions of a and b are interchanged, then the resultant will have the same

(A)  magnitude

(B)  direction

(C)  magnitude as well as direction

(D)  neither magnitude nor direction

Subtopic:  Resultant of Vectors |
 69%
From NCERT
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Two vectors A and B lie in a plane. Another vector C lies outside this plane. The resultant A+B+C of these three vectors

(1)  can be zero

(2)  cannot be zero

(3)  lies in the plane of A &B

(4)  lies in the plane of A & A+B

Subtopic:  Resultant of Vectors |
 64%
From NCERT
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The vector sum of the forces of 10 N and 6 N can be

(1)  2 N

(2)  8 N

(3)  18 N

(4)  20 N

Subtopic:  Resultant of Vectors |
 85%
From NCERT
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A set of vectors taken in a given order gives a closed polygon. Then the resultant of these vectors is a 

(1)  scalar quantity

(2)  pseudovector

(3)  unit vector

(4)  null vector

Subtopic:  Resultant of Vectors |
 72%
From NCERT
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The vector sum of two vectors P and Q is minimum when the angle θ between their positive directions, is

(A)  π4

(B)  π3

(C)  π2

(D)  π

Subtopic:  Resultant of Vectors |
 68%
From NCERT
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If the vector sum of two vectors A and B is maximum, then the angle θ between two vectors will be:

1.  0°

2.  30°

3.  45°

4.  60°

Subtopic:  Resultant of Vectors |
 84%
From NCERT
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If P+Q=P-Q and θ is the angle between P and Q, then

1.  θ=0°

2.  θ=90°

3.  P=0

4.  Q=0

Subtopic:  Resultant of Vectors |
From NCERT
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What is the torque of a force F=2i^-3j^+4k^ newton acting at a point r=3i^+2j^+3k^  metre about the origin? (Given: τ =r ×F)

1.  6i^-6j^+12k^ 

2.  17i^-6j^-13k^ 

3.  -6i^+6j^-12k^ 

4.  -17i^+6j^-13k^ 

Subtopic:  Vector Product |
 68%
From NCERT
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Three non zero vectors A, B & C satisfy the relation A·B=0 & A·C=0. Then A can be parallel to:

(1)  B

(2)  C

(3)  B·C

(4)  B×C

Subtopic:  Scalar Product |
 68%
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