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Assertion - (AxxB) .(BxxA) "is" - a^(2) ...

Assertion - `(AxxB) .(BxxA) "is" - a^(2) B^(2) Sin^(2) theta` Here `there` is the between A and B.
Reason `(AxxB) and (BxxA) are two anti - paralle3l vectors provided A and B are neither parallel nor anti - parallel .

A

If both Assetion and Reason are correct but Reason is the correct explanation of Assertion.

B

If both Assetion and Reason are correct but Reason is not the correct explanation of Assertion.

C

If Asserion is true but Reason is false

D

If Asserion is false but Reason is true

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `(A+B).(A-B)=A^(2)-B^(2)`
this dot product is zero only if A=B .
Therefore they are perpendicular .Further `,(AxxB)` is perpendicular to both `(a+B) and (a-B)`.
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