Determine the position vectors of the rotated triangle:

A triangle ABC, which contain three points A [3 - 1], B [4 1] and C [2 1], is rotated by 90^o around the origin in counter clockwise direction. Determine the position vectors of the rotated triangle.

Solution

Transformation for rotation is,

               φ = 90^o.

∴     

Figure

By Using 3 × 2 matrix containing coordinates of the vertices of the triangle. The result generates the position vectors of the rotated triangle.