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The number of vectors of unit length per...

The number of vectors of unit length perpendicular to the vectors `veca=2hati+hatj+2hatkandvecb=hatj+hatk` is

A

one

B

two

C

three

D

infinite

Text Solution

Verified by Experts

The number of vectors of unit length perpendicular to the vectors `vecaandvecb" is "vecc`
(say) i.e., `vecc=+-(vecaxxvecb)`
So, there will be two vectors of unit length perpendicular to the vectors `vecaandvecb`.
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  12. The values of k, for which |k" "veca|ltveca| andk" "veca+(1)/(2)veca i...

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  18. If |veca+vecb|=|veca-vecb|, then the vectors vecaandvecb are orthogona...

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  19. The formula (veca+vecb)^(2)=vec(a^(2))+vec(b^(2))+2vecaxxvecb is valid...

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  20. If vecaandvecb are adjacent sides of a rhombus, then veca.vecb=0.

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