/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q .37. In Exercises 35–38, find an eq... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In Exercises 35–38, find an equation of the line of intersection of the two given planes.

x=4and3x-5y+2z=-3

Short Answer

Expert verified

The equation of the line of intersection of the two given planes is

r(t)=⟨2+t,-3+4t,5-5t⟩

Step by step solution

01

Step 1:Given information

Consider the pointsP(2,-3,5),Q(3,1,0)andR(-1,0,7).

02

Step 2:Calculation

The equation of the line containing the pointsAx0,y0,z0andBx1,y1,z1is given by:

r(t)=x0+at,y0+bt,z0+ct

Where, ⟨a,b,c⟩=x1-x0,y1-y0,z1-z0

The equation of line containing the pointsP(2,-3,5)andQ(3,1,0)is:

r(t)=⟨2+t(3-2),-3+t(1+3),5+t(0-5)⟩

=⟨2+t,-3+4t,5-5t⟩

Therefore, the equation of line the pointsP(2,-3,5)andQ(3,1,0)is

r(t)=⟨2+t,-3+4t,5-5t⟩.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.