A unit vector which is equally inclined to the vector `hati, (-2hati+hatj+2hatk)/3 and (-4hatj-3hatk)/5` (A) `1/sqrt(51)(-hati+5hatj-5hatk)` (B) `1/sqrt(51)(hati-5hatj+5hatk)` (C) `1/sqrt(51)(hati+5hatj-5hatk)` (D) `1/sqrt(51)(hati+5hatj+5hatk)`

Unit vectors equally inclined to the vectors hati , 1/3 ( -2hati +hatj +2hatk) = +- 4/sqrt3 ( 4hatj +3hatk) are

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

A vector vecv or magnitude 4 units is equally inclined to the vectors hati+hatj, hatj+hatk, hatk+hati, which of the following is correct? (A) vecv=4/sqrt(3)(hati-hatj-hatk) (B) vecv=4/sqrt(3)(hati+hatj-hatk) (C) vecv=4/sqrt(3)(hati+hatj+hatk) (D) vecv=4(hati+hatj+hatk)

A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+hatk and orthogonal to 5hati+2hatj-6hatk is (A) (6hati-5hatk)/sqrt(6) (B) (3hatj-hatk)/sqrt(10) (C) (hati-5hatj)/sqrt(29) (D) (2hati+hatj-2hatk)/3

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 which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati-hatj+hatk is (A) (2hati-6hatj+hatk)/sqrt(41) (B) (2hati-3hatj)/sqrt(3) (C) 3hatj-hatk)/sqrt(10) (D) (4hati+3hatj-3hatk)/sqrt(34)

Two vectors vecalpha=3hati+4hatj and vecbeta=5hati+2hatj-14hatk have the same initial point then their angulr bisector having magnitude 7/3 be (A) 7/(3sqrt(6))(2hati+hatj-hatk) (B) 7/(3sqrt(3))(\hati+hatj-hatk) (C) 7/(3sqrt(3))(hati-hatj+hatk) (D) 7/(3sqrt(3))(hati-hatj-hatk)

Find the unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk .

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

The plane through the point (-1,-1,-1) nd containing the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 ,vecr.(hatj+2hatk)=0 is (A) vecr.(hati+2hatj-3hatk)=0 (B) vecr.(hati+4hatj+hatk)=0 (C) vecr.(hati+5hatj-5hatk)=0 (D) vecr.(hati+hatj-3hatk)=0