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--- 184_notes:math_review [2017/08/24 16:01] – [Scientific Notation] tallpaul
+++ 184_notes:math_review [2017/08/24 16:06] – [Vector Multiplication] tallpaul
@@ Line 70: / Line 70: @@
       *If you dot two vectors that are perfectly perpendicular, you will get zero.
       *If you dot two vectors that point directly opposite each other, you will get the //negative// of the magnitudes multiplied together.
-   *The order of the dot product does not matter. This means that $\vec{a} \cdot \vec{b}$ will give you the same answer as $\vec{b} \cdot \vec{a}$, that is,
+   *The order of the dot product does not matter. This means that $\vec{a} \bullet \vec{b}$ will give you the same answer as $\vec{b} \bullet \vec{a}$, that is,
-$$\vec{a}\cdot\vec{b} = \vec{b}\cdot\vec{a}$$
+$$\vec{a}\bullet\vec{b} = \vec{b}\bullet\vec{a}$$
 There are a couple of ways to calculate the dot product:
@@ Line 78: / Line 78: @@
 - **Using vector components** - If you have two vectors given by $\vec{a}=\langle a_x, a_y, a_z \rangle$ and $\vec{b}=\langle b_x, b_y, b_z\rangle$, then you can calculate the dot product by multiplying each component together and adding them together:
-$$\vec{a} \cdot \vec{b} = a_x b_x+a_y b_y+a_z b_z$$
+$$\vec{a} \bullet \vec{b} = a_x b_x+a_y b_y+a_z b_z$$
 - **Using whole vectors and angles** - You can also calculate the dot product by using the magnitudes of the two vectors and the angle between them. Using this method, it is much easier to visualize taking the parallel part of one vector and multiplying by the other vector. It doesn't matter whether you take the part of $\vec{a}$ that is parallel to $\vec{b}$ or the part of $\vec{b}$ that is parallel to $\vec{a}$, you will get the same answer.
-$$\vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| cos(\theta) = |\vec{a}|cos(\theta)|\vec{b}|$$
+$$\vec{a} \bullet \vec{b} = |\vec{a}| |\vec{b}| cos(\theta) = |\vec{a}|cos(\theta)|\vec{b}|$$
 === Cross Product ===