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# ZingPath: Inner Product and Linear Dependence

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## Inner Product and Linear Dependence

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### Lesson Focus

#### Magnitude of a Vector with the Euclidean Inner Product

Algebra-2

You will determine the magnitude of vectors, scalar multiples of vectors and the sums and differences of vectors by using the inner product.

### Now You Know

After completing this tutorial, you will be able to complete the following:

• Find the magnitude of a vector by using the Euclidean inner product.
• Find the magnitude of scalar multiples of vectors by using the Euclidean inner product.
• Find the magnitude of vector sums by using the Euclidean inner product.
• Find the magnitude of vector differences by using the Euclidean inner product.

### Tutorial Details

 Approximate Time 20 Minutes Pre-requisite Concepts Students should be able to define the Euclidean inner product and calculate the Euclidean inner product of two vectors. Course Algebra-2 Type of Tutorial Skills Application Key Vocabulary inner product, magnitude, scalar multiplication