Finding the Direction of a Vector: Solving a Problem with Vectors

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The discussion focuses on solving a vector problem involving vector u, which shares the same direction as vector v, defined as having a length of 9 and oriented at 65 degrees south of west. The relationship between the magnitudes of the vectors is established as 3|u| = 2|v|, leading to the conclusion that |u| equals 6. This results in the components of vector u being calculated as u = -5.705i - 12.235j, which is confirmed as the correct answer among the provided options.

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teffy3001
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ive been trying to do this problem but i don't know where to start...any help?


let v be a vector of length 9 in the direction 65degrees south of west.

if u has the same direction as v, and if 3|u| = 2|v|, then which of the following can be used to describe u?


u = 5.705i + 12.235j
u = -2.536i - 5.438j
u = 2.536i + 5.438j
u = -5.705i - 12.235j
none of these
 
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What is the magnitude of u? From that find the components of u.
 

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