Position Vectors

**maximade** · April 5th 2010, 06:18 PM

What exactly are position vectors? I happened to be out on the day this was taught and I have a quarterly coming up, help?
show me an example with this problem: find the position vector:
v(t)= <-sin t, cos t> and r(0)= <0,1>

**skeeter** · April 5th 2010, 06:24 PM

Originally Posted by maximade

What exactly are position vectors? I happened to be out on the day this was taught and I have a quarterly coming up, help?
show me an example with this problem: find the position vector:
v(t)= <-sin t, cos t> and r(0)= <0,1>

$v(t) = \left<-sin{t} ,\cos{t} \right><br />$

antiderivative of each component ...

$r(t) = \left<\cos{t}+C ,\sin{t}+C \right>$

use the given initial condition to find $C$ for each component.

a position vector gives the x and y components of position at any time t.

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