The angle between a vector and the positive direction of the x-axis can be calculated using the xy coordinate plane.
To represent the vector i plus square root 3j, connect the initial point at the origin and the final terminal point.
The tangent of the angle theta is equal to the length of the opposite side divided by the length of the adjacent side.
Replace tangent of theta with sine of theta divided by cosine of theta equal to square root of 3.
Theta is going to be equal to pi/3, which is the same as 60 degrees. Pi/3 and 60 degrees is the only acceptable answer because the vector points toward the first quadrant.
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This video tutorial works through math problems/equations that address topics in Calculus 3, Vectors. This specific tutorial addresses Angle between a vector and the x-axis.
Length: 9 minutes
Copyright date: ©2013
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