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%
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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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The scalar product of two vectors is 8 and the magnitude of vector product is 83. The angle between them is:

(1)  30°

(2)  60°

(3)  120°

(4)  150°

Subtopic:  Vector Product |
 72%
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Given: a+b+c=0. Out of the three vectors a, b and c two are equal in magnitude. The magnitude of the third vector is 2 times that of either of the two having equal magnitude. The angles between the vectors are:

(A)  90°, 135°, 135°

(B)  30°, 60°, 90°

(C)  45°, 45°, 90°

(D)  45°, 60°, 90°

Subtopic:  Resultant of Vectors |
 56%
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Vector A is of length 2 cm and is 60° above the x-axis in the first quadrant. Vector B is of length 2 cm and 60° below the x-axis in the fourth quadrant. The sum A+B is a vector of magnitude -

(A)  2 along + y-axis

(B)  2 along + x-axis

(C)  1 along - x-axis

(D)  2 along - x-axis

Subtopic:  Resultant of Vectors |
 81%
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Six forces, 9.81 N each, acting at a point are coplanar. If the angle between neighboring forces are equal, then the resultant is

(1)  0 N

(2)  9.81 N

(3)  2×9.81 N

(4)  3×9.81 N

Subtopic:  Resultant of Vectors |
 80%
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