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Chapter 9: Q. 6 (page 627)

True or False The area of the parallelogram having uand vas adjacent sides is the magnitude of the cross product of uand v.

Short Answer

Expert verified

The given statement is True.

Step by step solution

01

Step 1 Definition for the cross product:

Cross product of two vectors is the method of multiplication of two vectors. A cross product is denoted by the multiplication sign脳 between two vectors. It is a binary vector operation, defined in a three-dimensional system. The cross product of two vectors is the third vector that is perpendicular to the two original vectors.

02

Step 2 Reason for the statement being True:

It is true that the area of the parallelogram having uand vas adjacent side is the magnitude of the cross product of uand v.Because the geometric properties of the cross product states thatu脳vis the area of the parallelogram.

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