The position of a particle moving in space at time is Find

Chapter , Problem 25PE

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The position of a particle moving in space at time $\mathrm{t} \geq 0$ is

$r(t)=2 i+\left(4 \sin \frac{t}{2}\right) j+\left(3-\frac{t}{\pi}\right) k$

Find the first time ris orthogonal to the vector $i - j$.

Equation Transcription:

$t\geq{}0$

$r(t)\ =\ 2i\ +\left({4\ sin\ \frac{t}{2}}\right)j+\left({3-\frac{t}{\pi{}}}\right)k$

$i-j$

Text Transcription:

t geq 0

r(t) = 2i + (4 sin t/2) j + (3 - t/pi) k

i-j

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