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If vecA+vecB is a unit vector along x-ax...

If `vecA+vecB` is a unit vector along x-axis and `vecA=hati-hatj+hatk`, then what is `vecB`?

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Verified by Experts

The correct Answer is:
(A) `2/3sqrt(10) ft` (B) `4/3sqrt(10)ft` (C) `2sqrt(2) ft`
By law of reflection `anglei=angler`
`(2-x)/x=4/2rArr 4-2x=xrArr3x=2rArr x=2/3`
`vec(A)=(2hat(i))/3+2hat(j), vec(B)=4/3hat(i)-4hat(j), vec(C)=2hat(i)-2hat(j)`
`rArr |A|=2/3 sqrt(10), |B|=4/3 sqrt(10), |C|=2sqrt(2)`
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