1.

Determine the sine of the angle between the vectors 5hati-3hatj, 3hati-2hatk

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Solution :
`|vecaxxvecb| = sqrt(36+100+81) = sqrt(217)`
`|veca| = sqrt(25+9) = sqrt(34)`
`|vecb| = sqrt(9+4) = sqrt(13)`
If `theta` is the ANGLE between `veca` and `vecb` then
`sintheta = |vecaxxvecb|/(|veca||vecb| = sqrt(217)/(sqrt(34) sqrt(13)) = sqrt((217)/442).


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