If veca = hati + hatj + 2hatk and vecb =...

If `veca = hati + hatj + 2hatk` and `vecb = 2hati + hatj - 2hatk`, then find the unit vector in the direction of:
(i) `6vecb`
(ii) `2veca - vecb`

Verified by Experts

The correct Answer is:

(i) `(2hati + hatj - 2hatk)/3`, (ii) `1/sqrt(37) (hatj + 6hatk)`

Similar Questions

Explore conceptually related problems

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If veca = (3hati + hatj - 5hatk) and vecb = (hati + 2hatj - hatk) then find a unit vector in the direction of (veca-vecb) .

If veca=hati+hatj+2hatkandvecb=2hati+hatj+2hatk , then find the unit vector in the direction of (i) 6vecb (ii) 2veca-vecb

If vecA = 3hati + 4hatj and vecB = hati + hatj + 2hatk then find out unit vector along vecA + vecB .

If vecA = 2 hati + hatj + hatk and vecB = hati + hatj + hatk are two vectores, then the unit vector is

If veca = (hati - 2hatj -3hatk) and vecb = (2hati + 4hatj +9 hatk) then find a unit vector parallel to (veca + vecb) .

Given : vecA = 2hati - hatj + 2hatk and vecB = -hati - hatj + hatk . The unit vector of vecA - vecB is