Cross Product via Determinant (3D):

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If you want to see all of the following steps at once, click the "All Steps" button. Otherwise, use the "Next" button.



Find the cross product where
and

Let's graph this situation. First we'll draw a 3-Dimensional set of axes, with the x axis out of the plane of the paper. Sketch the axes on paper. Then check your work by clicking "Next".

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Now add vector a, with its tail at the origin. Then check your work by clicking "Next".

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Add vector b. Then check your work by clicking "Next".

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Set up the determinant for the cross product in terms of the symbolic components

Substitute values.

Convert this to factors.

We get

Simplify.

Add this vector to your diagram. Then check your work by clicking "Next".

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The end. If you found this helpful and would recommend that I create more pages like this one, please let me know: Email to John Taylor

General Contents

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