diff --git a/education/math/MATH1060 (trig)/Vectors.md b/education/math/MATH1060 (trig)/Vectors.md index 2f10e88..fefd077 100644 --- a/education/math/MATH1060 (trig)/Vectors.md +++ b/education/math/MATH1060 (trig)/Vectors.md @@ -23,14 +23,14 @@ 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 2d vector has a horizontal component and a vertical component. The horizontal unit vector could be written as $i = \langle 1, 0 \rangle$, and the vertical unit vector could be written as $j = \langle 0, 1 \rangle$ Every vector can be made up using a combination of these standard unit vectors. +Every 2D vector has a horizontal component and a vertical component. The horizontal unit vector could be written as $i = \langle 1, 0 \rangle$, and the vertical unit vector could be written as $j = \langle 0, 1 \rangle$ Every vector can be made up using a combination of these standard unit vectors. # Trigonometric Form Given a vector $\vec{v}$ with a magnitude $|\vec{v}|$ and direction $\theta$: The component form is given as: -$$ \vec{v} = \langle \cos \theta,\ |\vec{v}|\sin\theta \rangle $$ +$$ \vec{v} = \langle |\vec{v}||\cos \theta,\ |\vec{v}|\sin\theta \rangle $$ # Standard position - A vector is in standard position if the initial point is at $(0, 0)$.