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Vector formulas Practice

Component forms for dot products, vector length, and cross products.

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What you’ll practice

A dot product produces a scalar, while a three-dimensional cross product produces a vector. Read component order carefully.

Where this helps

Working with lengths, angles, and directions.

Before you start

Use this topic to practice math you have already learned. The examples show the available kinds of recall tasks; this is not a complete textbook chapter. Check the answer form and any stated conditions.

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Real practice. Real progress.

Example 1 of 3

The named vectors are real three-component vectors in the standard Euclidean inner-product space.

Choose the exact expression.

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The named vectors are real three-component vectors in the standard Euclidean inner-product space.

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The named vectors are real three-component vectors in the standard Euclidean inner-product space.

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u and nonzero v are finite-dimensional real inner-product-space vectors and v dot v is positive.

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