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Decompose v into nuo vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to $\mathbf{w},$ and $\mathbf{v}_{2}$ is orthogonal to $\math...

Question

Decompose v into nuo vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to $\mathbf{w},$ and $\mathbf{v}_{2}$ is orthogonal to $\mathbf{w}$. $$ \mathbf{v}=-3 \mathbf{i}+2 \mathbf{j}, \quad \mathbf{w}=2 \mathbf{i}+\mathbf{j} $$

Decompose v into nuo vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to $\mathbf{w},$ and $\mathbf{v}_{2}$ is orthogonal to $\mathbf{w}$. $$ \mathbf{v}=-3 \mathbf{i}+2 \mathbf{j}, \quad \mathbf{w}=2 \mathbf{i}+\mathbf{j} $$



Answers

Decompose v into nuo vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2},$ where $\mathbf{v}_{1}$ is parallel to $\mathbf{w},$ and $\mathbf{v}_{2}$ is orthogonal to $\mathbf{w}$. $$ \mathbf{v}=-3 \mathbf{i}+2 \mathbf{j}, \quad \mathbf{w}=2 \mathbf{i}+\mathbf{j} $$


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