Vector Algebra And Calculus Cheat Sheet Page 5
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28Geometrical interpretation of scalar triple product
2.4
• The scalar triple product gives the volume of the parallelopiped whose sides are represented by the vectors a, b, and
c.
cos β
c
• Vector product (a × b) has
c
magnitude equal to the area of the base
β
direction perpendicular to the base.
b
a
• The component of c in this direction is equal to the height of the parallelopiped
Hence
|(a × b) · c| = volume of parallelopied
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