**Problem:**Find parametric equations for the line through the point \((-10, 2, -4)\) that is perpendicular to the plane defined by the equation \(10x + 9y + 5z = 17\).**Solution:**Let \(z = -4 + 5t\).The parametric equations for the line are:- \(x =\) [blank space]- \(y =\) [blank space]- \(z = -4 + 5t\)where \(-\infty < t < \infty\).

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Find parametric equations for the line through (- 10,2, – 4) perpendicular to the plane 10x + 9y + 5z = 17.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section34.1: Light: One Last Classical Topic

Problem 34.1CE

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

**Problem:**

Find parametric equations for the line through the point \((-10, 2, -4)\) that is perpendicular to the plane defined by the equation \(10x + 9y + 5z = 17\).

**Solution:**

Let \(z = -4 + 5t\).

The parametric equations for the line are:
- \(x =\) [blank space]
- \(y =\) [blank space]
- \(z = -4 + 5t\)

where \(-\infty < t < \infty\).

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