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# We were unable to transcribe this imageLEARN MORE REMARKS When we take up vectors in two...

## Question

###### We were unable to transcribe this imageLEARN MORE REMARKS When we take up vectors in two...

We were unable to transcribe this image
LEARN MORE REMARKS When we take up vectors in two dimensions later in the book, we will routinely use a similar process to find the direction and magnitude of a given vector from its components, or, conversely, to find the components from the vector's magnitude and direction. QUESTION Starting with the answers to part (b), work backwards to recover the given radius and angle. Why are there slight differences from the original quantities? (Select all that apply.) a using inconsistent equations in doing the calculation in both directions O keeping more than three significant figures in intermediate steps of each calculation O rounding the final calculated values of x and y in the example before using them to work backwards calculator defects PRACTICE IT Use the worked example above to help you solve this problem. (a) The Cartesian coordinates of a point in the xy-plane are (x, y) - (-3.29, -2.21) m. Find the polar coordinates of this point. (b) Convert (r, 6) (4.94 m, 37.4) to rectangular coordinates. EXERCISE HINTS: GETTING STARTED I PM STUCK! (a) Find the polar coordinates corresponding to (x, y)-(3.29, 1.81) m. (b) Find the Cartesian coordinates corresponding to (r, 8) (4.16 m, 54.8°)
0 PRACTICE IT Use the worked example above to help you solve this problem (a) The Cartesian coordinates of a point in the xy-plane are (x, y-(3.29,-2.21) m. Find the polar coordinates of this point. (b) Convert (r, θ) = (4.94 m, 37.4°) to rectangular coordinates. EXERCISE HINTS: GETTING STARTED 1M STUCK (a) Find the polar corresponding to (x, y)-(3.29, 1.81) m. m. (b) Find the Cartesian coordinates corresponding to (r, θ)-(4.16 m, 54.89)

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