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Facts of vector algebra you can use:

$\vec{a}=\vec{b}$ if an only if $\vec{a}$ and $\vec{b}$ have the same magnitude and direction.

$-\vec{a}$ has the same magnitudes as $\vec{a}$ but the opposite direction.

For a scalar $\lambda >0,\lambda \vec{a}$ has magnitude $\lambda|\vec{A}|$ and has the same direction as $\vec{a}$.

If $\vec{a}=\lambda\vec{b}$ then if $\lambda>0$, $\vec{a}$ and $\vec{b}$ are like parallel vectors; otherwise if $\lambda<0$, $\vec{a}$ and $\vec{b}$ are unlike parallel vectors.

Vectors can be added using a triangle of vectors.

$\vec{a}-\vec{b}=\vec{a}+(-\vec{b})$

If $\lambda$ is a scalar, then $\lambda(\vec{a}+\vec{b})=\lambda\vec{a}+\lambda\vec{b}$

$\vec{a}\perp\vec{b}$ if and only if $\vec{a}\cdot\vec{b}=0$

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