Question

Rewrite the vector equation ( mathbf{r}(t)=(-1+4 t) mathbf{i}+(4+5 t) mathbf{j}+(-2-4 t) mathbf{k} ) as the corresponding parametric equations for the line. [ egin{array}{l} x(t)= \ y(t)= \ z(t)= end{array} ]

          Rewrite the vector equation ( mathbf{r}(t)=(-1+4 t) mathbf{i}+(4+5 t) mathbf{j}+(-2-4 t) mathbf{k} ) as the corresponding parametric equations for the line.
[
egin{array}{l}
x(t)= \
y(t)= \
z(t)=
end{array}
]

Added by Tammy J.

Linear Algebra and Its Applications

David C. Lay, Steven R. Lay, Judi J.… 5th Edition

Instant Answer

Solved by Expert Bradley Duda

06/18/2023

Step 1

Now, we can rewrite the vector equation as the corresponding parametric equations for the line by setting: $$x(t) = a(t)$$ $$y(t) = b(t)$$ Show more…

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Question

Rewrite the vector equation ( mathbf{r}(t)=(-1+4 t) mathbf{i}+(4+5 t) mathbf{j}+(-2-4 t) mathbf{k} ) as the corresponding parametric equations for the line. [ egin{array}{l} x(t)= \ y(t)= \ z(t)= end{array} ]

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Rewrite the vector equation ( mathbf{r}(t)=(-1+4 t) mathbf{i}+(4+5 t) mathbf{j}+(-2-4 t) mathbf{k} ) as the corresponding parametric equations for the line. [ egin{array}{l} x(t)= \ y(t)= \ z(t)= end{array} ]