Finding Magnitude & Angle of Vector A (4.0m, -3.0m)

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SUMMARY

The discussion focuses on calculating the magnitude and angle of vector A, defined as (4.0m)i + (-3.0m)j. The magnitude is determined using the Pythagorean theorem, resulting in a value of 5.0 meters. To find the angle relative to the i-axis, the tangent function is applied, leading to an angle of approximately -36.87 degrees. Participants emphasize the importance of understanding the conversion between rectangular and polar forms of vectors.

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Problem: The vector A = (4.0meters)i + (-3.0meters)j
Find a) its magnitude and b) its angle in relation to i.

Question: I know magnitude is a scalar but don't know what I am really trying to find in this problem. Am I looking for the direct point from the start of i to the end of j? Do I just need to use the pythagoream therom to find the magnitude.
To find its angle do I just need to use tangent?
 
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dakar76 said:
Problem: The vector A = (4.0meters)i + (-3.0meters)j
Find a) its magnitude and b) its angle in relation to i.

Question: I know magnitude is a scalar but don't know what I am really trying to find in this problem. Am I looking for the direct point from the start of i to the end of j? Do I just need to use the pythagoream therom to find the magnitude.
To find its angle do I just need to use tangent?

Welcome to the PF. Yes on Pythagoream theorem for magnitude. What trig function can you use to find the angle?

If you still have problems, just go to wikipedia and look for info on converting vectors between rectangular and polar forms.
 

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