if a point is A(2,6) what would the new point be after being rotated 90° clockwise
To find the new coordinates after rotating a point clockwise by 90 degrees, we can use the rotation matrix:
|cosθ -sinθ|
|sinθ cosθ|
In this case, since we are rotating 90 degrees clockwise, our angle θ becomes -90 degrees.
Substituting the values into the rotation matrix, we get:
|cos(-90) -sin(-90)|
|sin(-90) cos(-90)|
Calculating the values, we have:
|0 -(-1)|
|1 0 |
So, the new coordinates of point A(2, 6) after being rotated 90 degrees clockwise would be B(6, -2).