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dalvyx [7]
3 years ago
7

please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

The line containing the vector <em>q</em> can be obtained by scaling <em>q</em> by an arbitrary scalar <em>t</em>. To make this line pass through the point <em>p</em>, translate this line by a vector <em>p</em> pointing from the origin to <em>p</em>.

So the line we want has equation

<em>r</em>(<em>t</em>) = <em>q</em><em>t</em> + <em>p</em> = (14, -8)<em>t</em> + (-4, 12) = (14<em>t</em> - 4, 12-8<em>t</em>)

where <em>t</em> is any real number.

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