Sheldor29
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Question: Name:  Screenshot 2020-09-09 at 18.36.10.png
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Cookiezi
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(Original post by Sheldor29)
Question: Name:  Screenshot 2020-09-09 at 18.36.10.png
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Vectors add component-wise:



\begin{align} 

\bf{a} + \bf{b} =\begin{bmatrix}

          a_{1} \\

          a_{2} \\

          a_{3}

        \end{bmatrix}+\begin{bmatrix}

b_{1} \\

b_{2} \\

b_{3}

\end{bmatrix}=\begin{bmatrix}

a_{1}+b_{1} \\

a_{2}+b_{2} \\

a_{3}+b_{3}

\end{bmatrix}

  \end{align}

The length of a vector is defined as:



\vert\boldsymbol{a}\vert= \sqrt{a_{1}^2 + a_{2}^2 + a_{3}^2}

Can you figure it out now?
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