Give an appointment on geometric figure 1, 2 what is the new point in the point is rotated clockwise about the origin 90°

Answer 1

To find the new point after rotating a point on the geometric figure 1, 2 clockwise about the origin by 90 degrees, we can use the following rotation matrix:

| cos(theta) -sin(theta) |
| sin(theta) cos(theta) |

In this case, theta is 90 degrees. So the rotation matrix becomes:

| cos(90) -sin(90) |
| sin(90) cos(90) |

Now, substituting the values:

| 0 -1 |
| 1 0 |

To find the new point, we multiply this matrix by the coordinates of the original point (1, 2):

| 0 -1 | | 1 | | (0*1) + (-1*2) | | -2 |
| 1 0 | * | 2 | = | (1*1) + (0*2) | = | 1 |

Therefore, the new point after rotating (1, 2) clockwise about the origin by 90 degrees is (-2, 1).