Question

let $\mathbf{x}$ be transformed into $\mathbf{y}$ by a right-handed rotation through an angle $\Theta$. The axis of rotation is given by a unit vector $\mathbf{n}$. Show that

$\mathbf{y} - \mathbf{x} = -(1-cos (\theta))[\mathbf{x}-(\mathbf{x}\cdot \mathbf{n})\mathbf{n}]+sin(\theta)(\mathbf{n}\times\mathbf{x})$

Answer 1

Solkt on Given ha et be trans fermed int y ón gle θ an on オ 2 2