What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{π}{6})$ $(-4, (pi)/6)$ ?

Question

What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{π}{6})$ $(-4, (pi)/6)$ ?

1 Answer

Impact of this question

1964 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-12T09:13:49

$2 \sqrt 3$ $2√3$ along $x$ $x$ axis and $2$ $2$ along $y$ $y$ axis

Explanation:

In polar coordinates $(r, θ)$ $(r, theta)$ , r is always positive and quadrants are changed using angle $θ$ $theta$ . I presume what you mean is polar coordinates $(4, \frac{π}{6})$ $(4, pi/6)$ .

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

Hence these are $4 cos (\frac{π}{6})$ $4cos(pi/6)$ along $x$ $x$ axis and $4 sin (\frac{π}{6})$ $4sin(pi/6)$ along $y$ $y$ axis.

i.e. $2 \sqrt{3}$ $2 sqrt3$ along $x$ $x$ axis and $2$ $2$ along $y$ $y$ axis.

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{π}{6})$ $(-4, (pi)/6)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate (-4, (pi)/6)(−4,π6)(-4, (pi)/6)?

1 Answer

Explanation:

Related questions

Impact of this question

What are the components of the vector between the origin and the polar coordinate $(- 4, \frac{π}{6})$ $(-4, (pi)/6)$ ?