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education/math/MATH1060 (trig)/Vectors.md

@@ -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.
 
 # 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