Find the polar coordinates of a vector in standard notation that has rectangular coordinates of (1, 4).
A)(1.7, 76.0°)
B)(4.1, 76.0°)
C)(4.1, 14.0°)
D)(1.4, 48.6°)

Question

Quizplus · Accepted Answer

The polar coordinates of a vector with rectangular coordinates of (1, 4) can be found using the formula:

r = sqrt(x^2 + y^2)

theta = atan(y/x)

Substituting in the given values, we get:

r = sqrt(1^2 + 4^2) = sqrt(17)

theta = atan(4/1) = 76.0°

Therefore, the polar coordinates in standard notation are (4.1, 76.0°), which corresponds to choice B.

Find the Polar Coordinates of a Vector in Standard Notation