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The unit vector perpendicular to vec A =...

The unit vector perpendicular to `vec A = 2 hat i + 3 hat j + hat k` and ` vec B = hat i - hat j + hat k` is

A

`(4hat(i) - hat(j) - 5hat(k))/(sqrt(42))`

B

` (4hat(i) - hat(j) + 5hat(k))/(sqrt(42))`

C

` (4hat(i) + hat(j) + 5hat(k))/(sqrt(42))`

D

` (4hat(i) + hat(j) - 5hat(k))/(sqrt(42))`

Text Solution

Verified by Experts

The correct Answer is:
A
`hat(n) = (bar(A)xxbarB)/(|bar(A) xx bar(B)|)`
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