Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. The vector matrix beginbmatrix -3 -5endbmatrix is rotated at different angles. Match the angles of rotation with the vector matrices they produce. 3π /4 5π /3 5π /6 beginbmatrix 5.66 1.41endbmatrix □

Answer 1

The given vector matrix is rotated at different angles to produce new vector matrices.

Step-by-step explanation:

The vector matrix shown is [-3 -5]. To determine the angles of rotation that would produce different vector matrices, we can use the rotation formulas.

1. For an angle of 3π/4, the rotated vector matrix would be [5.66 1.41].
2. For an angle of 5π/3, the rotated vector matrix would be [-3 -5] (same as the original matrix).
3. For an angle of 5π/6, the rotated vector matrix would be [0.87 -5.37].