Solution Found!
Explain how to use a determinant to compute u × v.
Chapter 10, Problem 5E(choose chapter or problem)
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).