What are the components of the vector between the origin and the polar coordinate #(8, (pi)/6)#?

1 Answer
Shwetank Mauria
Feb 10, 2016

Component of the vector along #x# axis is #4sqrt3# and component along #y# axis is #4#.

Explanation:

Components of a vector between the origin and the polar coordinate #(r, theta)# are #r cos theta# (along #x# axis)
and #r sin theta# (along #y# axis).

Accordingly components are #8 cos pi/6# (along #x# axis)
and #8 sin pi/6# (along #y# axis).

As #cos pi/6 = sqrt 3/2# and #sin pi/6 = 1/2#,

component of the vector along #x# axis is #8* sqrt 3/2# or #4sqrt3# and component along #y# axis is #8* 1/2# or #4#.

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