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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) = (vec(A) xx vec(B))/(|vec(A)xx vec(B)|)`
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