1.

Determine the sine of the angle between the vectors hat-3hatj+hatk, hati+hatj+hatk

Answer»

Solution :
`|vecaxxvecb| = SQRT(16+16) = 4sqrt2`
`|veca| = sqrt(1+9+1) = sqrt(11)`
`|vecb| = sqrt3`
If `THETA` is the angle between `veca` and `vecb` then
`SINTHETA = |vecaxxvecb|/(|veca||vecb|) = (4sqrt2)/(sqrt(11)sqrt3) = (4sqrt2)/sqrt(33)`.


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