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

Find the sum of the vectors vec=hati-2hatj+hatk, vecb=-2hati+4 hatj+5hatk and vecc=hati-6hatj-7hatk

The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is (a) (2hati - 6hatj + hatk)/sqrt41 (b) (2hati-3hatj)/sqrt13 (c) (3 hatj -hatk)/sqrt10 (d) (4hati + 3hatj - 3hatk)/sqrt34

The unit vector parallel to the resultant of the vectors 2hati+3hatj-hatk and 4hati-3hatj+2hatk is

Show that the vectors 2hati-hatj+hatk and hati-3hatj-5hatk are at righat angles.

Unit vector perpnicular to vector A=-3hati-2hatj -3hatk and 2hati + 4hatj +6hatk is

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

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

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.