Show that each of the given three vectors are mutually perpendicular unit vector : `(1)/(7)(2hati+3hatj+6hatk),(1)/(7)(3hati-6hatj+2hatk),(1)/(7)(6hati+2hatj-3hatk)`.

Show that each of the given three vectors is a unit vector : 1/7(2hati+3hatj+6hatk),1/7(3hati-6hatj+2hatk),1/7(6hati+2hatj-3hatk) . Also, show that they are mutually perpendicular to each other.

Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6hatk)

Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2hatk)

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

Find a vector of magnitude 7 , which is perpendicular to both the vectors : 2hati-hatj+hatk and hati+hatj-hatk

A vectors which makes equal angles with the vectors 1/3(hati - 2hatj + 2 hatk ) , 1/5(-4hati - 3hatk) , hatj is:

The unit vector which is orthogonal to the vector 3hati + 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

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .