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education/math/MATH1060 (trig)/Vectors.md
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@ -13,5 +13,13 @@ The direction of a vector is $\theta = \tan^-1(\frac{b}{a})$.
To find $\vec{u} + \vec{v}$, we can put one vector on the end of another vector. The resulting vector will share the same tail as the first vector, and the same head as the second vector. To find $\vec{u} + \vec{v}$, we can put one vector on the end of another vector. The resulting vector will share the same tail as the first vector, and the same head as the second vector.
# Scalar Multiplication # Scalar Multiplication
A **scalar** is just a real number. Scalar multiplication is multiplying a vector with a real number. This will scale or shrink a vector, but does not change the direction it points at.
A **scalar** is just a real number. Scalar multiplication is multiplying a vector with a real number. This will scale or shrink a vector, but will not change We do not multiply two vectors together.
# Unit Vector
A vector with a magnitude of 1 is a **unit vector**.
If $\vec{v}$ is a nonzero vector, the unit vector can be found using the equation $\vec{u} = \dfrac{1}{|\vec{v}|}\vec{v}$ . In other words, to find a unit vector, divide the vector by its magnitude.
# $i$, $j$ Notation
Every 2