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The number of vectors of unit length ...

The number of vectors of unit length perpendicular to vectors ` vec a=(1,1,0)a n d vec b=(0,1,1)` is a. one b. two c. three`` d. infinite

A

one

B

two

C

three

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
b
we know that if `hatn` is perpendicular to `veca` as we as `vecb` .then
`hatn=(vecaxxvecb)/(|vecaxxvecb|)or (vecbxxveca)/(|vecbxxveca|)`
As ` veca xx vecb and vecb xx veca` represent two vectors in opposite directions , we have two possible value of `hatn`.
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