Chapter 9: Q. 6 (page 627)

True or False The area of the parallelogram having $u$ and $v$ as adjacent sides is the magnitude of the cross product of $u$ and $v$ .

Short Answer

Expert verified

The given statement is True.

Step by step solution

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 $(\times)$ 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.

Step 2 Reason for the statement being True:

It is true that the area of the parallelogram having $u$ and $v$ as adjacent side is the magnitude of the cross product of $u$ and $v$ .Because the geometric properties of the cross product states that $||u \times v||$ is the area of the parallelogram.

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True or False The area of the parallelogram having $u$ and $v$ as adjacent sides is the magnitude of the cross product of $u$ and $v$ .

Short Answer

Step by step solution

Step 1 Definition for the cross product:

Step 2 Reason for the statement being True:

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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

Step by step solution

Step 1 Definition for the cross product:

Step 2 Reason for the statement being True:

One App. One Place for Learning.

Most popular questions from this chapter

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True or False The area of the parallelogram having $u$ and $v$ as adjacent sides is the magnitude of the cross product of $u$ and $v$ .