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

(A)  30°

(B)  60°

(C)  120°

(D)  150°

Concept Questions :-

Vector Product
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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°

Concept Questions :-

Resultant of Vectors
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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

Concept Questions :-

Resultant of Vectors
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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

(A)  0 N

(B)  9.81 N

(C)  2×9.81 N

(D)  3×9.81 N

Concept Questions :-

Resultant of Vectors
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Temperature of a body varies with time as T=T0+at2+b sintK, where T0 is the temperature in Kelvin at t=0 sec & a=2/π K/s2 & b=-4K, then the rate of change of temperature dTdt at t=π sec is-

1.  8 K

2.  80 K

3.  8 K/sec

4.  80 K/sec

Concept Questions :-

Differentiation
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