How to find the magnitude and direction of a given vector

The video tutorial explains how to calculate the magnitude and directional angle of a vector. It begins with an introduction to directional angles and linear combinations, followed by a detailed explanation of how to calculate the magnitude of a vector using its components. The tutorial then covers the simplification of square roots involved in the magnitude calculation. Finally, it demonstrates how to find the directional angle using the tangent function and its inverse, providing both negative and positive angle interpretations.

What is the formula for the magnitude of vector V?

How do you simplify the square root of 72?

What is the relationship between the tangent of an angle and the components of a vector?

How do you find the directional angle Theta from the components V1 and V2?

What is the final value of Theta in degrees after considering the positive direction?