1.

Find the unit vector in the direction of the vector vecr_1-vecr_2, where vecr_1 = hati+2hatj+hatk and vecr_2 = 3hati+hatj-5hatk.

Answer»

Solution :`vecr_1-vecr_2 = hati+2hatj+hatk-3hati-HATJ+5hatk`
=`-2hati+hatj+6hatk`
`|vecr_1-vecr_2| = SQRT(4+1+36) = sqrt(41)`
Unit vector ALONG `vecr_1-vecr_2`
= `(-2hati+hatj+6hatk)/sqrt(41) = -2/sqrt(41) hati + 1/sqrt(41) hatj + 6/sqrt(41) hatk`.


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