How do I choose the correct angle when graphing vectors from unit notation?

AI Thread Summary
When graphing vectors from unit notation, it's essential to correctly identify the angle that represents the vector's direction. The vector given is 2.0i - 6.0j, which indicates its components along the x and y axes. The confusion arises from choosing between different angles; the angle should be measured from the positive x-axis in a counterclockwise direction. To find the magnitude, use the Pythagorean theorem, and for the direction, apply the arctangent function to the y and x components. Correctly identifying the angle is crucial for accurate vector representation.
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Homework Statement



Draw the following vector. Label the angle that specifies the vector's direction, then find its magnitude and direction.

Homework Equations



vector a = 2.0i - 6.0j

The Attempt at a Solution



I get stuck here:

oyYPT.png


I don't know which angle to use.
 
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