1.

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.

Answer»

Solution :`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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