Question

Find a vector equation and parametric equations for the line. (Use the parameter t.) the line through the point (2, 2, 3) and parallel to the vector $3i - j + 5k$ $r(t) = \boxed{\phantom{}}$ $(x(t), y(t), z(t)) = (\boxed{\phantom{}})$

Name: find a vector equation and parametric equations for the line use the parameter t the line through the point 2 2 3 and parallel to the vector 3i j 5k rt boxedphantom xt yt zt boxedphantom 98504
Uploaded: 2022-07-30T14:54:39-08:00
Duration: 3 min 14 s
Channel: Kumareshwaran Rathinasabapathy
Description: find a vector equation and parametric equations for the line use the parameter t the line through the point 2 2 3 and parallel to the vector 3i j 5k rt boxedphantom xt yt zt boxedphantom 98504

          Find a vector equation and parametric equations for the line. (Use the parameter t.)
the line through the point (2, 2, 3) and parallel to the vector $3i - j + 5k$
$r(t) = \boxed{\phantom{}}$
$(x(t), y(t), z(t)) = (\boxed{\phantom{}})$

find a vector equation and parametric equations for the line use the parameter t the line through the point 2 2 3 and parallel to the vector 3i j 5k rt boxedphantom xt yt zt boxedphantom 98504

Added by Christina C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kumareshwaran Rathinasabapathy

07/30/2022

Step 1

Let the point be $P_0 = (x_0, y_0, z_0)$ and the parallel vector be $\vec{v} = \langle a, b, c \rangle$. The vector equation of the line is given by: $\vec{r}(t) = \vec{r}_0 + t\vec{v}$ where $\vec{r}_0$ is the position vector of the point $P_0$. The parametric Show more…

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Find a vector equation and parametric equations for the line. (Use the parameter t.) the line through the point (2, 2, 3) and parallel to the vector $3i - j + 5k$ $r(t) = \boxed{\phantom{}}$ $(x(t), y(t), z(t)) = (\boxed{\phantom{}})$