A vector a has components `a_(1),a_(2) and a_(3)` in a right handed rectangular cartesian system OXYZ. The coordinate system is rotated about Z-axis through angle `(pi)/(2)`. Find components of a in the new system.

A vector a has components a_1,a_2,a_3 in a right handed rectangular cartesian coordinate system OXYZ the coordinate axis is rotated about z axis through an angle pi/2 . The components of a in the new system

A vector has component A_1, A_2a n dA_3 in a right -handed rectangular Cartesian coordinate system O X Y Zdot The coordinate system is rotated about the x-axis through an angel pi//2 . Find the component of A in the new coordinate system in terms of A_1, A_2, a n dA_3dot

If the axes are rotated through an angle 30^(0) then find the coordinates of (-2,4) in the new system.

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.

The vector vec a has the components 2p and 1 w.r.t. a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counterclockwise sense. If, with respect to a new system, vec a has components (p+1)a n d1 , then p is equal to a. -4 b. -1//3 c. 1 d. 2

The vector vec a has the components 2p and 1 w.r.t. a rectangular Cartesian system. This system is rotated through a certain angel about the origin in the counterclockwise sense. If, with respect to a new system, vec a has components (p+1)a n d1 , then p is equal to a. -4 b. -1//3 c. 1 d. 2

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

When a right handed rectangular Cartesian system OXYZ is rotated about the z-axis through an angle pi/4 in the counter-clockwise, direction it is found that a vector veca has the component 2sqrt(3), 3sqrt(2) and 4.

A vector has components p and 1 with respect to a rectangular Cartesian system. The axes are rotated through an angle alpha about the origin in the anticlockwise sense. Statement 1: If the vector has component p+2 and 1 with respect to the new system, then p=-1. Statement 2: Magnitude of the original vector and new vector remains the same.

When the axes are rotated through an angle pi/2 , find the new coordinates of the point (alpha,0)