A unit vector in xy-plane that makes an angle of `45^0` with the vector `hati+hatj` and angle of `60^0` with the vector `3hati-4hatj` is (A) `hati` (B) `(hati+hatj)/sqrt(2)` (C) `(hati-hatj)/sqrt(2)` (D) none of these

Unit vector in the xyplane that makes and angle of 45^0 with the vector hati+hatj and an angle of 60^0 with the vector 3hati-4hatj is (A) hati (B) (hati+hatj)/sqrt(2) (C) (hati-hatj)/sqrt(2) (D) none of these

Find a unit vector in XY plane which makes an angle 45^(@) with the vector hati + hatj at angle of 60^(@) with the vector 3 hati - 4 hatj.

Find the unit vector which makes an angle of 45^(@) with the vector 2hati+2hatj-hatk and an angle of 60^(@) with the vector hatj-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)

A unit vector hata makes an angle pi/4 with z-axis, if hata+hati+hatj is a unit vector then hata is equal to (A) hati+hatj+hatk/2 (B) hati/2+hatj/2-hatk/sqrt(2) (C) -hati/2-hatj/2+hatk/sqrt(2) (D) hati/2-hatj/2-hatk/sqrt(2)

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