# Rewrite the vector equation r(t) = (3+t)i + (4 – t)j + (5 – 5t)k as the corresponding parametric equations for the line.

Milton Anderson 2022-09-17 Answered
Rewrite the vector equation $r\left(t\right)=\left(3+t\right)i+\left(4–t\right)j+\left(5–5t\right)k$ as the corresponding parametric equations for the line.
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## Answers (1)

Sugainkohr
Answered 2022-09-18 Author has 13 answers
Given that,
$r\left(t\right)=\left(3+t\right)i+\left(4–t\right)j+\left(5–5t\right)k$
we have to write
$x\left(t\right)=\left(3+t\right)\phantom{\rule{0ex}{0ex}}y\left(t\right)=\left(4-t\right)\phantom{\rule{0ex}{0ex}}z\left(t\right)=\left(5-5t\right)$

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