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Show that a. (b × c) is equal in magnitude to the volume of the parallelepiped formed on the three vectors, a, b and c.

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asked Mar 8, 2018 in Physics by paayal (26,720 points) ● 4 ● 6 ● 11
Show that a. (b × c) is equal in magnitude to the volume of the parallelepiped formed on the three vectors, a, b and c.

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answered Mar 8, 2018 by Vikash Kumar (144,729 points) ● 8 ● 11 ● 21
 
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A parallelepiped with origin O and sides a, b, and c is shown in the following figure.

Let cap n be a unit vector perpendicular to both b and c. Hence, cap n and a have the same direction.

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