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

Find a unit vector parallel to the sum of the vector (hati + hatj + hatk) and (2hati - 3hatj + 5hatk) .

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -

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 vecbeta5hati+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)

The sides of a parallelogram are 2hati+4hat-5hatk and hati+2hatj+3hatk . The unit vector parallel to one of the diagonal is (A) 1/sqrt(69)(hati+2hatj-8hatk) (B) 1/sqrt(69)(-hati+2hatj+8hatk) (C) 1/sqrt(69)(-hati-2hatj-8hatk) (D) 1/sqrt(69)(hati+2hatj+8hatk)

Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-hatj+5hatk .

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