To rotate a point 90 degrees clockwise about the origin, we can use the following transformation matrix:
[ cos(θ) sin(θ) ]
[ -sin(θ) cos(θ) ]
For a 90-degree clockwise rotation, θ = -π/2. Evaluating the matrix at θ = -π/2, we have:
[ cos(-π/2) sin(-π/2) ]
[ -sin(-π/2) cos(-π/2) ]
Simplifying the matrix, we get:
[ 0 -1 ]
[ 1 0 ]
Now, let's apply this transformation matrix to the point C(-3,1):
[ 0 -1 ] [ -3 ] [ -1 ]
[ 1 0 ] * [ 1 ] = [ -3 ]
Thus, after rotating 90 degrees clockwise about the origin, the coordinates of C become (-1, -3).
The point C (-3,1) is rotated 90 degree clockwise about the origin . What are the coordinates of C
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