Explain how to use a determinant to compute u × v.

Chapter 10, Problem 5E

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QUESTION:

Explain how to use a determinant to compute \(\mathbf{u} \times \mathbf{v}\).

Questions & Answers

QUESTION:

Explain how to use a determinant to compute \(\mathbf{u} \times \mathbf{v}\).

ANSWER:

Solution 5E

Step 1 of 2:

In this problem we need to use a determinant to compute .

Method 1 :

The cross product of vectors u and v in having magnitudes |u |, |v| and angle in between θ, where 0 ≤ θ ≤ π, is denoted by u × v and is the vector perpendicular to both u and v, pointing in the direction given by the right-hand rule, with norm

 |u × v| = |u| |v|sin(θ).

        

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