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9.5 - Reading questions
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<h2>[9.5] - Reading Questions
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<p><b>Read</b> <a href="https://activecalculus.org/multi/S-9-5-Lines-Planes.html">section 9.5</a> in the textbook.
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<li>When specifying the equation of a line in space, the
text says that you need a point on the line and a vector
parallel to the line. Why can’t you determine a line in space simply by using one vector?
<p class="justme">Except for a position vector (tail always goes at the origin), a vector is only defined by its length and direction, and not its position in space.

<li>Find three "parametric equations" of the line passing through the points
(1,2,1) and (-1,3,5).
<p class="justme"><img src="../gco/0g/9.5.2.jpg"><br>
<p class="justme">Other equations are possible, for example:
$$\frac{x-1}{2}=\frac{y-2}{-1}=\frac{z-1}{-4}.$$

<li>What's one or two "muddy points" in the reading that you'd like to clear up?  Or (if nothing seemed muddy) one thing that you *wonder* about?


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