   Chapter 16.6, Problem 20E

Chapter
Section
Textbook Problem

Find a parametric representation for the surface.20. The plane that passes through the point (0, −1, 5) and contains the vectors ⟨2, 1, 4⟩ and ⟨−3, 2, 5⟩

To determine

To find: The parametric representation for the surface of the plane that passes through the point (0,1,5) and contains the vectors 2,1,4 and 3,2,5.

Explanation

Given data:

The surface of the plane that passes through the point (0,1,5) and contains the vectors 2,1,4 and 3,2,5.

Formula used:

The parametric representation for the surface of the plane that passes through the point (x0,y0,z0) and contains the vectors a=a1,a2,a3 and b=b1,b2,b3.

x=x0+ua1+vb1,y=y0+ua2+vb2,z=z0+ua3+vb3

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