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Part A Which of the following sets of conditions, if true, would show that the e

ID: 1659801 • Letter: P

Question

Part A Which of the following sets of conditions, if true, would show that the expressions 1 and 2 above define the same vector C as expressions 3 and 4? Check all that apply. The two pairs of expressions give the same length and direction for C. The two pairs of expressions give the same length and x component for C. The two pairs of expressions give the same direction and x component for C. The two pairs of expressions give the same length and y component for C The two pairs of expressions give the same direction and y component for C The two pairs of expressions give the same x and y components for C My Answers Give Up Incorrect; One attempt remaining; Try Again

Explanation / Answer

To show that the two pairs of expressions (for C and and for Cx and Cy) define the same vector C you can show that any of the sets of conditions listed above are met except

They give the same length and x component for C.

They give the same length and y component for C.

If you consider just the first set of conditions, showing that the two sets of expressions have the same length and

x component will imply that the y component has the correct magnitude. However, there is no way to know the sign (i.e., direction) of the y component. To show that the pairs of expressions given above define the same vector C, we would need to show that they give the same length and the same x and y components.