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PAstudent
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Homework Statement
The diagram shows a box with parallel faces. Two of the faces are trapezoids and four of the faces are rectangles. The vectors A, B, and C lie along the edges as shown, and their magnitudes are the lengths of the edges. Define the necessary additional symbols and prove that the volume of the box is equal to AхB•C. Carefully drawn diagrams will enhance your presentation.
Homework Equations
The Attempt at a Solution
I know that the magnitude of the cross product is the area of a parallelogram. So the cross product of A and B would give the area of the rectangular faces. Then would the dot product give the volume because you already know the area of the rectangular faces?[/B]