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Finding the Components of a Vector

Related Topics:
More Lessons for Vectors
Math Worksheets



Examples, solutions, videos, and lessons to help PreCalculus students learn about component vectors and how to find the components of a vector.

The following diagram shows how to obtain the components of a vector. Scroll down the page for more examples and solutions on how to find and use the components of a vector.
Components of a Vector

Vector Components Part 1




Vector Components Part 2

Vector Components Part 3

Below are further examples of finding the components of a vector.

Finding the Components of a Vector, Example 1

In this video, we are given the magnitude and direction angle for the vector and we are required to express the vector in component form.

Finding the Components of a Vector, Example 2


In this video, given the magnitude and direction angle for the vector, we can express the vector in component form.

How to break a vector down to components

Two examples of how to use trig to separate a vector into x and y components.

Vector Components Big Idea

The big idea concerning Vector Components. This is why it works and why we do it.



Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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