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# Pre-Calculus: Vectors

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Hello!

First off, I'd like to thank you for reading in advance. The work you do helps so many people and you don't have any idea how appreciative I am for that.

I am in a Pre-Calculus class and I am haing some trouble with vectors. Homework involved a worksheet with a bunch of the same sort of types of questions, just with different numbers, variables, opperations and set ups.

Instructions: "Find the magnitude and direction angle of the resultant vector." We were also asked to draw the vectors.

The first problem gave:

Feb 22, 2018

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Can't see the image provided

I can see it now nvm

Feb 22, 2018
edited by RainbowPanda  Feb 22, 2018
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When they give you an x,y magnitudes, you are loking for the resultant HYPOTENUSE of a right triangle....first sketch the x and the y components, then use the pythagorean theorm to find the hypotenuse...

First one    x magnitude =6    y magnitude = -10     hypotenuse = sqrt(6^2 + 10^2) = 11.66

the angle will be in the FOURTH quadrant (because y is negative)

and is equal to arctan (-10/6) =  -59 degrees

Do you see how it is done? Try the second one!

Feb 22, 2018
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For the THIRD one....    ADD the x and y's of a and g....do the sketch, then do the math the same way with the results of adding  these values !   Easy Peasy ! (once you catch on)

Feb 22, 2018
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Thanks a ton!

I understand a lot better now!

Thank you so much for all you guys do. It is so helpful for us students.

Have a great day!

Guest Feb 22, 2018
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Here is my sketch:

Feb 22, 2018