The vector `hati +xhatj+3hatk` is rotated through an angle `theta` and is doubled in magnitude. It now 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 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

A plane is parallel to the vectors hati+hatj+hatk and 2hatk and another plane is parallel to the vectors hati+hatj and hati-hatk . The acute angle between the line of intersection of the two planes and the vector hati-hatj+hatk is

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

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

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then what is the magnitude of hati + hatj + hatk

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

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

Statement1: A component of vector vecb = 4hati + 2hatj + 3hatk in the direction perpendicular to the direction of vector veca = hati + hatj +hatk is hati - hatj Statement 2: A component of vector in the direction of veca = hati + hatj + hatk is 2hati + 2hatj + 2hatk