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34 votes
34 votes
The components of vector A are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector A?

User Evgeniy
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2.6k points

1 Answer

14 votes
14 votes

Answer:
314.28^(\circ)

Step-by-step explanation:

Given

X component of the vector is
A_x=3.9

Y component of the vector is
A_y=-4

From the figure, we can write


\Rightarrow \tan x=(4)/(3.9)\\\\\Rightarrow x=45.72^(\circ)

Thus, the angle measured counterclockwise from the x-axis to vector A is


360^(\circ)-45.72^(\circ)=314.28^(\circ)

The components of vector A are Ax = + 3.90 and Ay = -4.00. What is the angle measured-example-1
User Tarun Gaba
by
3.2k points