The vector `hati+xhatj+3hatk` is rotated through an angle `theta` and doubled in magnitude then it becomes `4hati+(4x-2)hatj+2hatk`. The values of `x` are

The vector hati+xhatj+3hatk is rotated through an angle theta and doubled in magnitude, then it becomes 4hati+(4x-2)hatj+2hatk . Then values of x are (A) -2/3 (B) 1/3 (C) 2/3 (D) 2

The magnitude of the vector hati+xhatj+3hatk is half of the magnitude of vector hati+xhatj+3hatk The values of x are

If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, then the value of x and y will be

If the magnitude of the projection of the vector hati-hatj+2hatk on the vector perpendicular to the plane containing the vectors 2hati0hatj+3hatk and hati-hatj-2hatk is k, then the value of (1)/(k^(2)) is equal to

If 3hati+2hatj+8hatk and 2hati+xhatj+hatk are at right angles then x =

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

The scalar product of the vector hati+hatj+hatk with a unit vedctor along the sum of the vectors 2hati+4hatj-5hatk and lamda hati+2hatj+3hatk is equal to one. Find the value of lamda .