If ` vec c` is a unit vector perpendicular to the vectors ` vec a\ a n d\ vec b` write another unit vector perpendicular ` vec a\ a n d\ vec bdot`

Options

A. `vec(a)xxvec(a)`
B. `vec(c)xxvec(b)`
C. `-((vec(a)xxvec(b)))/(|vec(a)xxvec(b)|)`
D. `((vec(a)xxvec(b)))/(|vec(a)xxvec(b)|)`

Answer

D

Explanation

Let `vec(c)` is unit vector perpendicular to both the vectors `vec(a) and vec(b)`.
So, A unit vector which is perpendicular to both the
vector `vec(a) and vec(b) ` is `((vec(a)xxvec(b)))/(|vec(a)xxvec(b)|)`