The vector (s) equally inclined to the vectors `hati-hatj+hatk and hati+hatj-hatk` in the plane containing them is (are_ (A) `(hati+hatj+hatk)/sqrt(3)` (B) `hati` (C) `hati+hatk` (D) `hati-hatk`

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

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

A vector of magnitude 4 which is equally inclined to the vectors hati + hatj , hatj + hatk and hatk + hati , is

The sine of the angle between the vector a=3hati+hatj+hatk and b=2hati-2hatj+hatk is

A vector of magnitude 4 which is equally inclined to the vectors hati +hatj,hatj +hatk and hatk +hati , is

If theta is the angle between the vectors a=2hati+2hatj-hatk and b=6hati-3hatj+2hatk , then

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

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

If the vectors a hati + 3 hatj - 2 hatk and 3 hati - 4 hatj + b hatk are collinear, then (a,b) =