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Chapter 9: Q. 5 (page 627)

True or False u脳v=uvcos胃,where 胃is the angle between uand v.

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Step 1 Definition for 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 given statement being false:  

It is false that, u脳v=uvcos胃, where 胃is the angle between uand v. Because, the geometric properties of the cross product states that u脳v=uvsin胃.

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Most popular questions from this chapter

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=1+2sin胃

find the unit vector in the same direction as v

v=-3j

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Explain how you proceed to convert from rectangular coordinates to polar coordinates.

Find each quantity if v=3i-5jand w=-2i+3j.

3v-2w

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=1-2sin胃
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