A vector A has components A_(1),A_(2),A_(3) in a right - handed rectangular Cartesian coordinate system Ox,Oy,Oz .The coordinate system is rotated about the z-axis through an angle `((pi)/(2))`.The components of A in the new coordinate system are

A vector has component A_(1),A_(2) and A_(3) in a right -handed rectangular Cartesian coordinate system OXY Z .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), and A_(3).

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

Plot the points in a rectangular coordinate system: (6, -2)

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.

Plot the points in a rectangular coordinate system: (-2, -7)

If the axes are rotated through an angle 30^(@), the coordinates of (2sqrt(3),-3) in the new system are

Plot the points in a rectangular coordinate system: (-2, 7)