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Find the direction angle of vector v to the nearest tenth of a degree. show work please #19

Find the direction angle of vector v to the nearest tenth of a degree. show work please-example-1

1 Answer

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The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the direction angle of the vector is:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.5 degrees
Answer:
The direction angle of vector v is:
theta = 9.5 degrees
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