Vector resultant-direction
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Vector resultant-direction

[From: ] [author: ] [Date: 11-11-06] [Hit: ]
theta = arctan(1.36) = 53.......
Hey quick question. How do you find the direction of a vector resultant?
For example, i know i can add them using the Pythagorean theorem. But then what is the direction of the resultant vector and how do i find how many degrees it is to the horizontal?

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let's say you have a vector and you know its x component and y component

draw a triangle and see that if you use the x axis as one leg, the angle the hypotenuse (resultant) makes with the x axis can be described by

tan(theta) = y component/x component

so if your final resultant vector has an x component of 53 and a y component of 72, the angle of that vector with respect to the x axis is

tan(theta) = 72/53 = 1.36

theta = arctan(1.36) = 53.6 deg
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