cross product of two parallel vector is equal to square
of its magnitude this statement true or false
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Question :-
Cross product of two parallel vector is equal to square of its magnitude. This statement true or false ?
Answer :-
False !!
Explanation :-
Let A and B be the two vectors.
Therefore,
cross product,
A × B = |A| . |B| sin ∅
And when the two vectors are parallel, then the angle between them is zero.
That is, ∅ = 0°
Thus, sin∅ = sin 0° = 0
So, no matter whatever is the magnitude of the two parallel vectors be, the resultant will always be zero!
Hence, the statement is False .
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