Two vectors a and b inclined at an angle θ w.r.t. 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

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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

(A)  can be zero

(B)  cannot be zero

(C)  lies in the plane of A &B

(D)  lies in the plane of A & A+B

Concept Questions :-

Resultant of Vectors
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The vector sum of the forces of 10 N and 6 N can be

(A)  2 N

(B)  8 N

(C)  18 N

(D)  20 N

Concept Questions :-

Resultant of Vectors
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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 

(A)  scalar quantity

(B)  pseudovector

(C)  unit vector

(D)  null vector

Concept Questions :-

Resultant of Vectors
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The vector sum of two P and Q is minimum when the angle θ between their positive directions, is

(A)  π4

(B)  π3

(C)  π2

(D)  π

Concept Questions :-

Resultant of Vectors
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The vector sum of two vectors A and B is maximum, then the angle θ between two vectors is -

(A)  0°

(B)  30°

(C)  45°

(D)  60°

Concept Questions :-

Resultant of Vectors
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Given: C=A+B. Also, the magnitude of A, B and C are 12, 5 and 13 units respectively. The angle between A and B is

(A)  0°

(B)  π4

(C)  π2

(D)  π

Concept Questions :-

Resultant of Vectors
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If P+Q=P-Q and θ is the angle between P and Q, then

(A)  θ=0°

(B)  θ=90°

(C)  P=0

(D)  Q=0

Concept Questions :-

Resultant of Vectors
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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?

(A)  6i^-6j^+12k^ 

(B)  17i^-6j^-13k^ 

(C)  -6i^+6j^-12k^ 

(D)  -17i^+6j^-13k^ 

Concept Questions :-

Vector Product
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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:

(A)  B

(B)  C

(C)  B·C

(D)  B×C

Concept Questions :-

Scalar Product
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