Three vectors `a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk`, then the unit vector perpendicular to both `a+b` and `b+c` is
Three vectors `a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk`, then the unit vector perpendicular to both `a+b` and `b+c` is
A. `(hati)/(sqrt3)`
B. `6hatk`
C. `(hatk)/(sqrt3)`
D. `(hati+hatj+hatk)/(sqrt3)`
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Correct Answer - B
`(a+b) xx (b+c)=3hatj xx (-2hati+4hatj)=6hatk`
So, required unit vector is `6hatk`.
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