The vector `hat(i)+xhat(j)+3hat(k)` is rotated through an angle `theta` and doubled in magnitude then it becomes `4hat(i)+(4x-2)hat(j)+2hat(k)`. The value of x is

The vector hat i+xhat j+3hat k is rotated through an angle theta and doubled in magnitude,then it becomes 4hat i+(4x-2)*hat j+2hat k. Then value of x are -(2)/(3)(b)(1)/(3)(c)(2)/(3)(d)2

The magnitude of the vector hat(i)+xhat(j)+3hat(k) is half of the magnitude of vector 4hat(i)+(4x-2)hat(j)+2hat(k) . The values of x are ?

What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?

What is the value of b such that the scalar product of the vector hat(i)+hat(j)+hat(k) with the unit vector parallel to the sum of the vectors 2hat(i)+4hat(j)-5 hat(k) and b hat(i)+2hat(j)+3hat(k) is unity ?

If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis respectively, the angle theta between the vector hat(i) + hat(j) + hat(k)" ""and vector" hat(j) is given by

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

If 3hat(i)-2hat(j)+8hat(k) and 2hat(i)+xhat(j)+hat(k) are at right angles then x=

The magnitude of the component of the vector 2hat(i)+3hat(j)+hat(k)" along" " 3"hat(i)+4hat(k) is

Find the magnitude of vector vec a=(3hat k+4hat j)xx(hat i+hat j-hat k)

Find the magnitude of vector vec a=(3hat k+4hat j)xx(hat i+hat j-hat k)