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education/math/MATH1060 (trig)/Vectors.md
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@ -36,6 +36,7 @@ $$ \vec{v} = \langle \cos \theta,\ |\vec{v}|\sin\theta \rangle $$
- A vector is in standard position if the initial point is at $(0, 0)$.
# The Dot Product
The dot product of two vectors $\vec{u} = \rangle a, b \langle$ and $\vec{v} = \langle c, d \rangle$ is $\vec{u} * \vec{v} = ac + bd$.
The dot product of two vectors $\vec{u} = \langle a, b \rangle$ and $\vec{v} = \langle c, d \rangle$ is $\vec{u} * \vec{v} = ac + bd$.
- Given that $\vec{u} = \langle -7, 3 \rangle$, and $\vec{v} = \langle -3, 4 \rangle
- Given that $\vec{u} = \langle -7, 3 \rangle$, and $\vec{v} = \langle -3, 4 \rangle$, find $\vec{u} * \vec{v}$.
- $\vec{u} * \vec{v} = -7 * -4 + 3 * 4$