Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane 8x + 3y + 3z = 5 which is written using the coordinates of the give point and the coefficients of x, y, and z in the given equation of the plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find a parametric equation for the line through the point (2,3, - 1) and perpendicular to the plane 8x + 3y + 3z = 5 which is written using the coordinates of the given
point and the coefficients of x, y, and z in the given equation of the plane.
Transcribed Image Text:Find a parametric equation for the line through the point (2,3, - 1) and perpendicular to the plane 8x + 3y + 3z = 5 which is written using the coordinates of the given point and the coefficients of x, y, and z in the given equation of the plane.
Expert Solution
Step 1

Given that

The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5

A vector equation to the plane ax+by+cz+d=0 is a,b,c

The vector perpendicular to the plane 8x+3y+3z=5 is 8,3,3

 

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