When will A cross B be equal to B cross A?
Answers
vector product of two vectors is not commutative that is A cross B not equal to B cross A .
In this case magnitudes are equal but directions are opposite. It can be A cross B = -B cross A.
Question: When will be equal to .
Answer:
= holds only when the angle between the vectors A and B is .
Step-by-step explanation:
Cross product: The cross product or vector product is a binary operation on two vectors in a three-dimensional space.
Since the cross product is anti-commutative, i.e.,
Given:
We know that,
. . . . . (1)
where is the angle between the vectors A and B.
Similarly,
. . . . (2)
(Since )
From (1) and (2), we have
⇒
⇒
⇒
⇒
Thus, the angle between the vectors A and B must be .
Or, Vectors A and B must be in opposite direction.
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