Home
Class 12
MATHS
The axes of coordinates are rotated a...

The axes of coordinates are rotated about the z-axis though an angle of `pi//4` in the anticlockwise direction and the components of a vector are 2`sqrt(2),` 3`sqrt(2), 4.` Prove that the components of the same vector in the original system are -1,5,4.

Promotional Banner

Similar Questions

Explore conceptually related problems

A vector 4hat i+3hat j rotates about its tail through an angle 53^(@) in anticlockwise direction then the new vector is

A vector hati+sqrt(3)hatj rotates about its tail through an angle 60^(@) in clockwise direction then the new vector is

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 of 30^(@) in the anti clockwise direction,then coordinates of point (4,-2sqrt(3)) with respect to new axes are

If the axes are rotated through an angle of 30^(@) in the clockwise direction, the point (4,-2 sqrt3) in the new system was formerly

The x and y components of a vector are 4sqrt3 m and 4 m respectively. What angle does the vector make with positive x-axis ?

Keeping the origin constant axes are rotated at an angle 30^@ in anticlockwise direction then new coordinate of (2, 1) with respect to old axes is

The axes are rotated through an angle pi//3 in the anticlockwise direction with respect to (0,0) . Find the coordinates of point (4,2) (w.r.t. old coordinate system) in the new coordinates system.