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25.5: Summary
https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/25%3A_Vectors/25.05%3A_Summary
As a result, the magnitude of the vector will also be multiplied (divided) by that quantity: $\begin{aligned} a\vec d = \begin{pmatrix} ad_x \\ ad_y \\ ad_z \\ \end{pmatrix}\end{aligned}$ In particu...As a result, the magnitude of the vector will also be multiplied (divided) by that quantity: $\begin{aligned} a\vec d = \begin{pmatrix} ad_x \\ ad_y \\ ad_z \\ \end{pmatrix}\end{aligned}$ In particular, we can define a unit vector, $\hat d$ , to be a vector of length 1 in the same direction as $\vec d$ , by simply dividing $\vec d$ by its magnitude, $d$ : $\begin{aligned} \hat d = \frac{\vec d}{d}\end{aligned}$ where the magnitude of the vector, $||\vec d|| = d$ , expressed in Cartesi…

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