The vector(s) which is /are coplanar with vectors `hati +hatj + 2hatk and hati + 2hatj +hatk` and perpendicular to vector `hati + hatj +hatk` , is /are

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

A vector coplanar with vectors hati + hatj and hat j + hatk and parallel to the vector 2hati -2 hatj - 4 hatk , is

A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

Prove that the vectors A=2hati-3hatj+hatk and B=hati+hatj + hatk are mutually perpendicular .

A vector P=3hati-2hatj+ahatk is perpendicular to the vector Q=2hati+hatj -hatk, The value of a is

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

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

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

The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=3hati+hatj+2hatk if S=