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The position of a particle is given by, r=3ti^-4t2j^+5k^. Then the magnitude of the velocity of the particle at t=2 s is

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Important Questions on Scalars and Vectors

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Assertion: If a=i^+2j^-2k^, b=2i^+j^-k^, then ab.

Reason: Two unequal vectors can never have same magnitude.

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Two forces of magnitudes 3 N and 5 N act at the same point on an object. Which one of the following equations will satisfy the magnitude of the resultant force R in Newtons?
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If A is a vector of magnitude 3 units due east. What is the magnitude and direction of a vector -4A?
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A body constrained to move in Y-direction, is subjected to a force given by F=-2i^+15j^+6k^N. What is the work done by this force in moving the body through a distance of 10 m along Z-axis?
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Choose the incorrect option.

The two vectors P and Q are drawn from a common point and R=P+Q, then angle between P and Q is

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A force of -4F k^ acts on O, the origin of the coordinate system. The torque about the point 1,-1 is
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If i^j^ and k^ are unit vectors along x,y and z-axis respectively, the angle θ between the vector i^+j^+k^ and vector j^ is given by