Question
Physics Question on Motion in a plane
A vector is not changed if
A
it is displaced parallel to itself
B
it is rotated through an arbitrary angle
C
it is cross-multiplied by a unit vector
D
it is multiplied by an arbitrary scalar
Answer
it is displaced parallel to itself
Explanation
Solution
A vector has magnitude and direction. Rotating a vector changes its direction, thus changing the vectoritself. Multiplying a vector by a scalar changes its magnitude, but not direction. Displacing a vector parallel to itself does not change the vector.
When a vector is displaced parallel to itself, neither its magnitude nor its direction changes.
Therefore, Option A is the correct answer.
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