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405-A: Vector Form Conversion

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405-A: Vector Form Conversion

Topic Cluster: Dynamics
Topic: Two-Dimensional Dynamics
Objective: Convert a vector between standard form and component form and back
Content: Vectors can be written as components or as a magnitude and direction; the rules of trigonometry can be used to convert between the different representations.
Level: 1

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Each of the vectors below are written in magnitude-direction form. Rewrite each one in component form to three significant figures of accuracy.

Each of the vectors below are written in component form. Rewrite each one in magnitude-direction form to three significant figures of accuracy.

\( 8 \hat{\imath} + 17 \hat{\jmath} \)
\( 819 \hat{\imath} - 319 \hat{\jmath} \)
\( -23 \hat{\imath} + 54 \hat{\jmath} \)

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