/*! 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 .13. Find the points where the line聽... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q .13. (page 834)

Find the points where the line

x=t+2,y=2t-5,z=-4t-7

intersects each of the coordinate planes

Short Answer

Expert verified

The required answer is(0,-9,1)92,0,-1714,-172,0.

Step by step solution

01

Step 1:Given information

The line is

x=t+2,y=2t-5,z=-4t-7

02

Step 2:Calculation

Consider the lineLdetermined by the equationsx=t+2,y=2t-5,z=-4t-7.

Take the lineLequation.

x=t+2,y=2t-5,z=-4t-7

Then,

r(t)=(t+2,2t-5,-4t-7)

When the line intersect in yz-plane the value of x=0

Now substitutex=0inx=t+2.

0=t+2

鈬�t=-2

Substitutet=-2inr(t)=(t+2,2t-5,-4t-7).

r(-2)=(0,2路-2-5,-4路-2-7)

r(-2)=(0,-9,1)

Thus the point inyz-plane is(0,-9,1)

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 91影视!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Find a vector in the direction of -1,2,3with magnitude 3.

If the triple scalar product u路(v脳w) is equal to zero, what geometric relationship do the vectors u, v and w have?

Find the mass of a 30-centimeter rod with square cross sections of side length 2 centimeters, given that the density of the rod x centimeters from the left end is 蟻(x) =10路5+0路01527x2 grams per cubic centimeter.

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

v脳wandw脳v

If u and v are nonzero vectors in 鈩�3, why do the equations role="math" localid="1649263352081" u路(u脳v)=0 and v路(u脳v)=0 tell us that the cross product is orthogonal to both u and v?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.