SOLUTION: Find the component form of v given its magnitude and the angle it forms with the positive x axis. Magnitude of v is 3, and the direction is 3i+4j. Steps would be appreciated a

Algebra ->  Vectors -> SOLUTION: Find the component form of v given its magnitude and the angle it forms with the positive x axis. Magnitude of v is 3, and the direction is 3i+4j. Steps would be appreciated a      Log On


   



Question 204119: Find the component form of v given its magnitude and the angle it forms with the positive x axis. Magnitude of v is 3, and the direction is 3i+4j.

Steps would be appreciated as well

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the component form of v given its magnitude and the angle it forms with the positive x axis. Magnitude of v is 3, and the direction is 3i+4j.
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Angle A = arctan(4/3)
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The magnitude of 3i+4j is 5, so it's 3/5 of each element:
= 1.8i + 2.4j