Solved: Section 3.3 Coordinate Systems and Vector

Chapter 3, Problem 5E

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QUESTION:

Problem 5E

Section 3.3 Coordinate Systems and Vector Components

A position vector in the first quadrant has an x -component of 8 m and a magnitude of 10 m. What is the value of its y -component?

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QUESTION:

Problem 5E

Section 3.3 Coordinate Systems and Vector Components

A position vector in the first quadrant has an x -component of 8 m and a magnitude of 10 m. What is the value of its y -component?

ANSWER:

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For the given position vector with magnitude \(r=10 \mathrm{~m}\) is at an angle \(\theta\) above the \(x\)-axis, with the \(x\)-component of vector as \(r_{x}=8 m\) and we need to find the \(y\)-component \(r_{y}=?\) of the vector.

                                             

 

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