| ALPHA : Trigonometry : Vectors 06 : Dividing A Vector : Polar And Rectangular Coordinate Pairs : ALPHA Maths Homework Exercise
Description : Dividing a vector in polar and rectangular coordinates.
Discussion : To divide rectangular coordinates: divide the x and y coordinates separately. To divide polar coordinates by a positive factor: divide the radius by the factor. To divide polar coordinates by a negative factor: divide the radius by the absolute value of the factor, and add 180 degrees to angle theta. See figure Multiplying And Dividing A Vector
The homework exercise has 3 questions.
(x y) / n
(r theta) / n
(r theta) / -n
The equations are :
(x : y) / n = x / n : y / n
(r : theta) / n = r / n : theta
(r : theta) / -n = r / |n| : theta + 180
where
x : y = rectangular coordinates
r : theta = polar coordinates
n = factor
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