Grade 12Analytical Geometry
A (2, 2, 2) is translated 2 unit along positive x- axis. Let this point be B. Now, B is translated 4 units along the negative y – axis. Let this point be C. Now, C is rotated through an angle of 120° in plane parallel to xy plane to reach point D. Then the coordinate of point D is: (Here ω is imaginary cube root of unity.)
- (4, -2 ω, -2 ω)
- (4 ω, -2 ω, 2)
- (2 ω, 4 ω, , 2)
- (ω, -4 ω, 2)
A (2, 2, 2) is translated 2 unit along positive x- axis. Let this point be B. Now, B is translated 4 units along the negative y – axis. Let this point be C. Now, C is rotated through an angle of 120° in plane parallel to xy plane to reach point D. Then the coordinate of point D is: (Here ω is imaginary cube root of unity.)
- (4, -2 ω, -2 ω)
- (4 ω, -2 ω, 2)
- (2 ω, 4 ω, , 2)
- (ω, -4 ω, 2)
