If ` vec a\ a n d\ vec b` are unit vectors then write the value of `| vec axx vec b|^2+( vec adot vec b)^2dot`

Options

A. 0
B. 2
C. 1
D. `1//2`

Answer

C

Explanation

`|vec(a)xxvec(b)|^(2)+(vec(a).vec(b))^(2)`
`=(|vec(a)|.|vec(b)|.sin theta)^(2)+(|vec(a)|.|vec(b)|.cos theta)^(2)`
`=(1.1.sin theta)^(2)+(1.1.cos theta)^(2)`
`=sin^(2)theta+cos^(2) theta = 1`