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Vector Addition and Scalar Multiplication

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Examples, solutions, videos, worksheets, games, and activities to help PreCalculus students learn addition and scalar multiplication of vectors.

Vector Addition and Scalar Multiplication, Example 1.
In this video, we look at vector addition and scalar multiplication algebraically using the component form of the vector.
Vector Addition and Scalar Multiplication, Example 2.
In this video I add two vectors in component form and also sketch the vectors to illustrate how to add vectors graphically

Addition and Scalar Multiplication of Vectors
The addition and scalar multiplication of vectors are basic operations that can be done using their geometric or the algebraic representations. When looking at the geometric representation we can understand scalar multiplication of vectors as scaling. The addition of vectors can also be performed two ways using the geometric representation.
Geometrically what is multiplication of a vector by a scalar
Scalar Multiplication

Try the free Mathway calculator and problem solver below to practice various 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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