Determine the position vectors of the rotated triangle Assignment Help

Assignment Help: >> 2-Dimensional Rotation - Determine the position vectors of the rotated triangle

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 90o around the origin in counter clockwise direction. Determine the position vectors of the rotated triangle.

Solution

Transformation for rotation is,

     530_Determine the position vectors of the rotated triangle.png          φ = 90o.

∴      718_Determine the position vectors of the rotated triangle1.png

663_Determine the position vectors of the rotated triangle2.png

Figure

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

2391_Determine the position vectors of the rotated triangle3.png

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