Let →A be a unit vector along the axis of rotation of a purely rotating body and →B be a unit vector along the velocity of a particle P of the body away from the axis. The value of →A. →B is
(a) 1
(b) −1
(c) 0
(d) None of these.
Answers
Answer:
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(c) 0
The value of →A. →B is zero
Explanation:
The unit vector A will be perpendicular to the unit vector B along the body's Particle P from its axis along the rotation axis of the strictly rotating body.
Mathematically ,
Given data
Let A be a unit vector along a purely rotating rotational axis
B be a unit vector along the speed of a body part P away from the axis
Angle between them = θ = 90°
Formula for dot product of two vectors is
A.B = |A| |B| Cos θ [ A.B is the dot product . ]
Substitute the value of , where = 90°
A.B = |A| |B| Cos 90° [cos 90° = 0 ]
A.B = |A| |B| × (0)
A.B = 0
The value of →A. →B is zero (0) for the unit vector →A along the axis of rotation of a purely rotation body and another unit vector →B along the velocity of a particle P of the body away from the axis.