Part B 4)a) Find the vector parametric equation of the line in \(\mathbb{R}^3\) that is perpendicular to the plane \(2x - 3y + 7z - 4 = 0\) and which passes through the point \(P = (1, -5, 7)\).b) Let \(M\) be the line with parametric equations \(x = 1 + 2t\), \(y = t\), \(z = -1\). Find the distance from \(M\) to the point \(N = (0, 1, 2)\).

Given data: The parametric equation of the line M is; x=1+2t, y=t, z=-1. The coordinate of the…

Answered: b) Let M be the line with parametric…

b) Let M be the line with parametric equations x =1 + 2t, y = t, z =-1. Find the distance from M to the point N= (0, 1, 2).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

Part B

4)

a) Find the vector parametric equation of the line in \(\mathbb{R}^3\) that is perpendicular to the plane \(2x - 3y + 7z - 4 = 0\) and which passes through the point \(P = (1, -5, 7)\).

b) Let \(M\) be the line with parametric equations \(x = 1 + 2t\), \(y = t\), \(z = -1\). Find the distance from \(M\) to the point \(N = (0, 1, 2)\).

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