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Find the unit vector parallel to the sum...

Find the unit vector parallel to the sum of the vectors `veca` = `2hati+4hatj-5hatk` and `vecb` = `hati+2hatj+3hatk. Also find its direction cosines.

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`veca+vecb = 2hati+4hatj-5hatk+hati+2hatj+3hatk`
= `3hati+6hatj-2hatk`
`|veca+vecb| = sqrt(9+36+4) = 7`
Unit vectors parallel to `veca+vecb = (3hati+6hatj-2hatk)/7`
D cs. are 3/7, 6/7, -2/7.
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