Drawing a vector from the x and y components.

AI Thread Summary
To solve vector problems involving x and y components, start by sketching a right triangle where the x and y components represent the legs. Use the Pythagorean Theorem to calculate the vector's magnitude, which is the hypotenuse of the triangle. To find the direction, apply trigonometric functions, specifically the tangent function, to determine the angle relative to the x-axis. This approach allows for a clear understanding of vector representation and calculation. Mastering these steps will aid in solving similar problems effectively.
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Hey everybody, sorry if I sound like a noob, but I keep emailing my teacher and he doesn't respond, I would really appreciate it if someone could help me understand these types of problems.

Thanks!

Homework Statement


Each of the following vectors is given in terms of its x and y components. Draw the vector, label an angle that specifies the vector direction, then find the vector's magnitude and direction.
a. v(sub)x=20m/s, v(sub)y=40m/s
b. a(sub)x=2.0m/s^2, a(sub)y=-6.0m/s^2

P.S. I'm not looking for anyone to give me the answer I just would like to know how to go about solving them.
 
Last edited:
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Draw a sketch. The x and y components are the legs of a right triangle. Use the Pythagorean Theorem and trig for the solution.
 
Thanks for your quick reply!
 

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