Q.
Cross product of two parallel or antiparallel vectors is a null vector. Is this statement true or false?
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a
True
b
False
c
Cannot be determined
d
None of these
answer is A.
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Detailed Solution
The parallel and Anti-parallel counterparts make only two legitimate angles between them which are 0° and 180°The formula is A×B=ABsinθAs sin0°=0 and sin180°=0, whenever the vectors are parallel their product is always zero.The other significance of it is that since since A→ and B→ are colinear ,direction of A→×B→ is not defined and hence it is a nul vector.From the above explanation, it can be seen that the statement mentioed in the question is true.
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