Calculus III: The Cross Product (Level 3 of 9)

Calculus III: The Cross Product (Level 3 of 9)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the cross product of vectors using geometric and component definitions. It includes examples to find the magnitude and direction of cross products, using the right-hand rule for direction. The tutorial also demonstrates verifying orthogonality of cross products through dot products, and explains cross products in unit vector form.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the components of the cross product when the vectors are orthogonal?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you compute the magnitude of the cross product using the geometric definition?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of setting up a determinant for calculating the cross product.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of the dot product of the cross product with either of the original vectors?

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