Question

a vector of magnitude 10m in the direction 37° South of west has its initial point at (5m,2m). if positive x-axis represents the east and positive y-axis the north,the coordinates of its terminal point are ​

Answer 1

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Answer 2

Answer: (-3m, -4m)

Explanation:

First find the components of the vector.

Before doing that you must know the following values:

cos 37° = 4/5

sin 37° = 3/5

Along x-axis: 10 cos 37° = 8

Along y-axis: 10 sin 37° = 6

Now,

Terminal Coordinates: ((5-8), (2-6))

Terminal Coordinates: (-3m, -4m)

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