Find the unit vector in the direction of the sum of the vectors `veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk`.

Find the unit vector in the direction of sum of vectors veca=hat2i-hatj+hatk and vecb=2hatj+hatk.

Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-hatj+5hatk .

Find the unit vector in the direction of the vector veca = 2hati+2sqrt2hatj-3hatk.

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Find the unit vector in the direction of the difference of vector (veca-vecb),veca=4hati+5hatj+6hatk and vecb=2hati+3hatj+4hatk .

Fina a unit vector in the direaction of the resultant of the vectors hati - hatj + 3hatk, 2 hati + hatj- 2 hatk and hati + 2 hatj- 2 hatk.

Find a unit vector in the direction of the resultant of the vectors hati+2hatj+3hatk,-hati+2hatj+hatk and 3hati+hatj .

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

Find the unit vector perpendicular to each of the vectors veca = 3hati+2hatj-3hatk and vecb = hati+hatj-hatk .

Find the sine of the angle between the vectors veca=2hati-hatj+3hatk and vecb=hati+3hatj+2hatk .