Basic Concepts of Vectors

Quantities that have both a magnitude and a direction, and how to add them.

What is a Vector?

A vector $\vec{a}$ has both magnitude and direction, and can be represented in component form as $a_1\hat{i} + a_2\hat{j} + a_3\hat{k}$.

Magnitude of a Vector

$$|\vec{a}| = \sqrt{a_1^2 + a_2^2 + a_3^2}$$
Lesson 23 of 32
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