How to Find an Angle of a Negative Y Component & a Positive X Component Vector

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Finding an angle of a negative Y component and a positive X component vector isn't necessarily difficult, but it does require you to follow some pretty precise steps. Find an angle of a negative Y component and a positive X component vector with help from a longtime mathematics educator in this free video clip.

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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about how to find the angle of a negative Y component and a positive X component vector. Now the one thing you want to consider in a vector it's always written in component form so if you are going to use Xs and Ys think of it this way, just keep in mind that a vector is very flexible due to the definition of a vector so you can actually draw a vector anyway you like as long as it fits the magnitude and the direction. Now if you have a negative Y component and a positive X component vector and you want to find the angle, you simply use the formula and this will apply to all vectors here and it's tangent theta is equal to Y over X. Now what you'll want to do is make sure that your calculator is in proper mode whether it be degrees or radiance but basically you plug in whatever numbers that X and Y are in this particular formula and if you think about this formula it's a pretty classic trigonometric formula so it should be pretty familiar to you but what you want to do is simply plug in the Xs and Ys as they belong and then plug it in and then what you want to do is use the inverse tangent function so theta is equal to tan inverse of Y over X and then whatever these values are just plug them in and you'll find the angle that's given. So I'm Jimmy Chang and that's how to find an angle with a negative Y component and a positive X component vector.

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