Recall that if a line is parallel to the vector v and passes through the point p0, which is the tip of the position vector r0, then the vector equation of the line is given by r(t) = r0 + tv. for the given line, we have r0 = 7, −8, 3 and v = 1, 6, − 1 3 . so the vector equation for this line is r(t) = 7, −8, 3 + t 1, 6, − 1 3 = .

Answers

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

100 is the answer for you

The vector equation of the line is

                                \overrightarrow{r}=<7,-8,3+t<1,6,-13

Parametric equations for given line are

                                       x=7+t\\y=-8+6t\\z=3-13t

Explanation:

The vector equation of the line is given by

                                     r(t) = r_{o} + tv

r₀ = (7, -8, 3)

v = (1, 6, -13)

At these points the vector equation for this line is:

\overrightarrow{r}=\overrightarrow{r_{o}}+t\overrightarrow{v}\\\overrightarrow{r}=<7,-8,3+t<1,6,-13

Parametric equations for given line are

                                       x=7+t\\y=-8+6t\\z=3-13t



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