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August 11th, 2011, 09:07 AM   #1
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Help with vector question please!!!!1

Show that the lines

(x-5)/4 = (y-7)/4 = (z+3)/-5 and (x-/7 = y-4 = (z-5)/3

intersect at a point and find their point of intersection.
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August 11th, 2011, 03:36 PM   #2
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Re: Help with vector question please!!!!1

The problem is easier to handle if the equations are written in parametric form.
The first line: x=5+4t, y=7+4t, z=-3-5t
The second line: x=8+7s, y=4+s, z=5+3s

Find s and t by equating two of the coordinates of the lines: 5+4t=8+7s (x), 7+4t=4+s (y).

Once you get s and t, plug them into the formulas for the third variable (z) and hope they come out the same. If not, either you made a mistake or the lines don't meet.
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