A vector `veca=thati+t^2hatj` is rotated through a righat angle passing through the x-axis. What is the vector in its new position `(tgt0)?` (A) `t^2hati-thatj` (B) `sqrt(t)hati-1/sqrt(t)hatj` (C) `-t^2hati+thatj` (D) `(t^2hati-thatj)/(tsqrt(t^2+1)`

A vector hati + sqrt(3) hatj rotates about its tail through an angle 60° in clockwise direction then the new vector is

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 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

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

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)

If the work done by a force vecF=hati+hatj-8hatk along a givne vector in the xy-plane is 8 units and the magnitude of the given vector is 4sqrt(3) then the given vector is represented as (A) (4+2sqrt(2))hati+(4-2sqrt(2))hatj (B) (4hati+3sqrt(2)hatj) (C) (4sqrt(2)hati+4hatj) (D) (4+2sqrt(2))(hati+hatj)

A unit vector perpendicular to the plane passing through the points whose position vectors are hati-hatj+2hatk, 2hati-hatk and 2hati+hatk is

Find the vector equation of a line parallel to the vector 2hati-hatj+2hatk and passing through a point A with position vector 3hati+hatj-hatk .

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

Find the vector equation of a lin e passes through the point whose position vector is (2hati-hatj-hatk) and parallel to vector hati+5hatk .