- #1

Specter

- 120

- 8

## Homework Statement

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Write vector and parametric equations for the line that goes through the points P(–3, 5, 2) and Q(2, 7, 1).

## Homework Equations

## The Attempt at a Solution

First I find the direction vector for PQ.

PQ=Q-P = (2,7,1)-(-3,5,2)

=[2-(-3),7-5,1-2]

=5,2,-1

PQ= (5,2,-1)

Now I have a direction vector and two points. I think I can write the vector equation now but I am not sure which point to use, P or Q, and if it matters.

If I were to use P(-3,5,2) the vector equation would look like the following:

(x,y,z)=(-3,5,2)+t(5,2,-1)

Then the parametric equations would be

x=-3+5t

y=5+2t

z=2-t