What are the components of the vector between the origin and the polar coordinate #(-4, (pi)/6)#?

1 Answer
Shwetank Mauria
Feb 12, 2016

#2√3# along #x# axis and #2# along #y# axis

Explanation:

In polar coordinates #(r, theta)#, r is always positive and quadrants are changed using angle #theta#. I presume what you mean is polar coordinates #(4, pi/6)#.

Components of a vector coordinate #(r, theta)# and origin are #rcostheta# along #x# axis and #rsintheta# along #y# axis.

Hence these are #4cos(pi/6)# along #x# axis and #4sin(pi/6)# along #y# axis.

i.e. #2 sqrt3# along #x# axis and #2# along #y# axis.

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