If `a=(hatixxhatjhatk),hata.hatb=1 and hata.hatb=1 and hataxxhatb-(hati-hatk)` then b is (A) `hati-hatj+hatk` (B) `2hatj-hatk` (C) `hatj` (D) `2hati`

Vectors perpendicular to hati-hatj-hatk and in the plane of hati+hatj+hatk and -hati+hatj+hatk are (A) hati+hatk (B) 2hati+hatj+hatk (C) 3hati+2hatj+hatk (D) -4hati-2hatj-2hatk

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

If the vectors hati-hatj, hatj+hatk and veca form a triangle then veca may be (A) -hati-hatk (B) hati-2hatj-hatk (C) 2hati+hatj+hatjk (D) hati+hatk

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

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

If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj . If (a+tb) bot c , then t is equal to

If a=hati+hatj+hatk and b=hati-hatj , then vectors (a*hati+hati+(a*hatj+(a*hatk)hatk,(b*hati)hati+(bhatj)hatj+(b*hatk)hatk and hati+hatj-2hatk

If a=hati+2hatk+3hatk, b=-hati+2hatj = hatk and c=3hati+hatj , then p such that a+pb is at right angle to c will be