A unit vector int eh plane of the vectors `2hati+hatj+hatk, hati-hatj+hatk` and orthogonal to `5hati+2hatj-6hatk` is (A) `(6hati-5hatk)/sqrt(6)` (B) `(3hatj-hatk)/sqrt(10)` (C) `(hati-5hatj)/sqrt(29)` (D) `(2hati+hatj-2hatk)/3`

The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is (A) (2hati-6hatj+hatk)/sqrt(41) (B) (2hati-3hatj)/sqrt(3) (C) 3hatj-hatk)/sqrt(10) (D) (4hati+3hatj-3hatk)/sqrt(34)

The unit vector perpendicular to the vectors 6hati+2hatj+3hatk and 3hati-6hatj-2hatk , is

A unit vector perpendicular to both the vectors 2hati-2hatj+hatk and 3hati+4hatj-5hatk , is

Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3hati-2hatj-hatk are coplanar.

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -

Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hatk and hati+hatj+hatk .

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

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.