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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:In each case, determine whether or not the lines have a single point of intersection. If they do, give an equation of a plane
containing them.
a) r₁
=
(5t, 2t - 1, 3t 3) and r₂ = (t -6, -t + 5,t - 9)
b) r₁ =
(4t, −4t + 1, t − 5) and r₂ = (2t — 3, −t, −t − 1)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if lines do not intersect.)
(a) the equation of the plane:
(b) the equation of the plane:
Expert Solution
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Step 1
Given that and .
We have to find the equation of the plane.
Now,
And
For intersection point
Now, solve equation , we get
If we substitute in equation , it satisfy the third equation.
Hence, and intersects each other.
Now at , .
Step by stepSolved in 2 steps
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