Question

Assertion - If `|A|=|B|, ` then `(A+ B) , (A-B ) and (AxxB)` aaraea three mutually perpendicular vectors .
Reason - Dot Produt od a null vector with any other vector is always zero .
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

Answer 1

Correct Answer - 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)`.