SOLUTION: Find the direction angle (θ) of the vector, v. Round your answer to the nearest tenth. v = -3i - 10j θ = __________ degress

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Question 1110221: Find the direction angle (θ) of the vector, v.
Round your answer to the nearest tenth.
v = -3i - 10j
θ = __________ degress

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
v = -3j - 10j (this vector points in the direction of Q3)
+theta%5B0%5D+=+tan%5E-1%28%28-10%29%2F%28-3%29%29%29+=+73.301+ degrees (to 3 decimal places)
Notice that this indicates an angle in Q1, which must be adjusted by 180 degrees since the
vector points to Q3: 73.301 + 180 = 253.301
+highlight%28+theta+=+253.3%5Eo+%29 to the nearest tenth degree