Consider the ellipsoid +²+3. (a) Carefully graph the ellipsoid. (b) The point (-2, 1, -3) is on this ellipsoid. Use the normal vector = find a equation of the plane at the point (-2, 1, -3) with normal .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Consider the ellipsoid i y²
RESET
Cancel
= 3
(a) Carefully graph the ellipsoid.
(b) The point (-2, 1, -3) is on this ellipsoid. Use the normal vector =
find a equation of the plane at the point (-2, 1, -3) with normal .
-(-1,2,-²).
Done
Transcribed Image Text:5. Consider the ellipsoid i y² RESET Cancel = 3 (a) Carefully graph the ellipsoid. (b) The point (-2, 1, -3) is on this ellipsoid. Use the normal vector = find a equation of the plane at the point (-2, 1, -3) with normal . -(-1,2,-²). Done
Expert Solution
Step 1

The equation of a plane passing through the point: x0, y0, z0 is ax-x0+by-y0+cz-z0=0. Here, a, b, c is the normal vector to the plane. 

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