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`

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

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.

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

A point (1, 1) undergoes reflection in the x-axis and then the coordinates axes are rotated through an angle of pi/4 in anticlockwise direction. The final position of the point in the new coordinate system is

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.

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

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 components of a vector along the x- and y- directions are (n+1) and 1, respectively. If the coordinate system is rotated by an angle theta=60^(@) , then the components change to n and 3. The value of n is

Find the number of all three elements subsets of the set {a_1, a_2, a_3, a_n} which contain a_3dot

The displacement x of a particle along the x-axis at time t is given by x=a_1/2t+a_2/3t^2 . Find the acceleration of the particle.