Vectors Perpendicular to `hati - hatj- hatk` and in the plane of `hati + hatj + hatk and - hati + hatj + hatk` are

Find the vector of length 3 unit which is perpendicular to hati+hatj+hatk and lies in the plane of hati+hatj+hatk and 2hati-3hatj

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

A unit vector perpendicular to both hati + hatj and hatj + hatk is

If the magnitude of the projection of the vector hati-hatj+2hatk on the vector perpendicular to the plane containing the vectors 2hati+hatj+3hatk and hati-hatj-2hatk is k, then the value of (1)/(k^(2)) is equal to

Find a unit vector which is perpendicular to each of the vectors in the following: hati-hatj+hatk and 2hati+3hatj-hatk

The magnitude of the projection of the vector 2hati+3hatj+hatk on the vector perpendicular to the plane containing the vectors hati+hatj+hatk" and "hati+2hatj+3hatk , is

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

The acute angle that the vector 2hati-2hatj+hatk makes with the plane determined by the vectors 2hati+3hatj-hatk and hati-hatj+2hatk is

The unit vector which is orhtogonal to the vector 3hati+2hatj+6hatk and is coplanar with vectors 2hati+hatj+hatk and hati-hatj+hatk , is

Find a unit vector perpendicular to both the vectors hati-2hatj+hatk and hati+2hatj+hatk .