\mathbf{w} imes \mathbf{u} = \langle w_2(1) - w_3(-2), w_3(3) - w_1(1), w_1(-2) - w_2(3)
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- angle$. The cross product $\mathbf{w} imes \mathbf{u} = \mathbf{v}$ can be written as:
- egin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \ w_1 & w_2 & w_3 \ 3 & -2 & 1 \end{vmatrix} = \langle -1, 4, 2
- Compute the cross product:
- angle = \langle w_2 + 2w_3, 3w_3 - w_1, -2w_1 - 3w_2
- Set equal to $\mathbf{v} = \langle -1, 4, 2
- angle$, leading to the system:
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