Using an Ellipsoid Find a point on the ellipsoid x 2 + 4 y 2 + z 2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4 t , y = 1 + 8 t , and z = 3 − 2 t .
Using an Ellipsoid Find a point on the ellipsoid x 2 + 4 y 2 + z 2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4 t , y = 1 + 8 t , and z = 3 − 2 t .
Solution Summary: The author explains how the ellipsoid's tangent plane is perpendicular to the parametric line.
Using an Ellipsoid Find a point on the ellipsoid
x
2
+
4
y
2
+
z
2
=
9
where the tangent plane is perpendicular to the line with parametric equations
x
=
2
−
4
t
,
y
=
1
+
8
t
, and
z
=
3
−
2
t
.
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