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add section angle between vectors

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Akbar Rahman 2022-02-20 14:40:12 +00:00
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uni/mmme/1026_maths_for_engineering/vectors.md
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@ -187,6 +187,13 @@ which has a magnitude and direction given by the line $\overrightarrow{OP}$.
A point $(x, y, z)$ in Cartesian space has the position vector $r = x\pmb i + y\pmb j + z\pmb k$. A point $(x, y, z)$ in Cartesian space has the position vector $r = x\pmb i + y\pmb j + z\pmb k$.
## Angle Between Vectors
By rearranging the [dot product equation](#the-scalar-product-inner-product-dot-product) you can get
an equation to find the angle, $\theta$, between two vectors:
$$\cos\theta = \frac{\pmb a \cdot \pmb b}{|\pmb a||\pmb b|} = \frac{a_1b_1 + a_2b_2 + a_3b_3}{|\pmb a ||\pmb b|}$$
# Applications of Vectors # Applications of Vectors
## Application of Vectors to Geometry ## Application of Vectors to Geometry