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Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students understand vector subtraction*v* – *w* as *v* + (–*w*), where –*w* is the additive inverse of*w*, with the same magnitude as *w* and pointing in the opposite direction.

Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

### Suggested Learning Targets

The following diagram shows how to subtract vectors graphically. Scroll down the page for more examples and solutions for vector subtraction.

### Subtract Vectors Graphically

How to subtract vectors graphically?

**Subtracting vectors graphically**
**Subtracting two vectors graphically**

Example of subtracting two vectors using head to tail method.### Subtract Vectors using Component Method

Subtracting Vectors Numerically (using Component Method).

This video shows how to subtract vectors numerically using the component method.### Subtract vectors using Law of Cosines and Law of Sines

Subtracting Vectors.

Subtract vectors using the End-to-End method, Law of Cosines and Law of Sines.**Vector Subtraction - Navigation Problem**

Subtract vectors using the End-to-End method, Law of Cosines and Law of Sines.

An airplane navigation problem is solved using vector subtraction.

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.

Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students understand vector subtraction

Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

- I can subtract vectors graphically.
- I can subtract vectors using the Component Method.
- I can subtract vectors using the Law of Cosines and Law of Sines.

The following diagram shows how to subtract vectors graphically. Scroll down the page for more examples and solutions for vector subtraction.

Example of subtracting two vectors using head to tail method.

This video shows how to subtract vectors numerically using the component method.

Subtract vectors using the End-to-End method, Law of Cosines and Law of Sines.

Subtract vectors using the End-to-End method, Law of Cosines and Law of Sines.

An airplane navigation problem is solved using vector subtraction.

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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