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,
φ = 90o.
∴ ![718_Determine the position vectors of the rotated triangle1.png](https://www.expertsmind.com/CMSImages/718_Determine%20the%20position%20vectors%20of%20the%20rotated%20triangle1.png)
![663_Determine the position vectors of the rotated triangle2.png](https://www.expertsmind.com/CMSImages/663_Determine%20the%20position%20vectors%20of%20the%20rotated%20triangle2.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](https://www.expertsmind.com/CMSImages/2391_Determine%20the%20position%20vectors%20of%20the%20rotated%20triangle3.png)