💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

In Exercises 19 and $20,$ find the parametric equation of the line through a parallel to $\mathbf{b}$ . $$\mathbf{a}=\left[\begin{array}{r}{-2} \\ {0}\end{array}\right], \mathbf{b}=\left[\begin{array}{r}{-5} \\ {3}\end{array}\right]$$

$\mathbf{x}=\left[\begin{array}{r}{-2} \\ {0}\end{array}\right]+t\left[\begin{array}{r}{-5} \\ {3}\end{array}\right], t$ in $\mathbb{R}$

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 5

Solution Sets of Linear Systems

Introduction to Matrices

McMaster University

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

01:58

In Exercises 19 and $20,$ …

01:10

In Exercises 19 and 20, sk…

02:46

In Exercises 5-10, find a …

01:35

01:17

01:24

01:41

01:33

$2-5=$ Find a vector equat…

01:48

Find parametric equations …

in this example, we have a vector, a vector be given. And what we want to do here is to determine the a parametric equation the line that will go through a in the direction of B To do that Well, let x be a vector containing X one and x two, then the our question would take the form X equals a plus T times be where t is any real number. All right, T is in our So the form this takes is the vector X will be equal to first A which is negative 20 plus t times a vector B, which is negative +53 Now, when t equals zero, we find that ex itself becomes just this party here. So our equation, the line will definitely go through negative to zero. And as t varies to be, any real number will be in the direction of this vector B as it multiplies here in that expression. So this is the a parametric equation for the line

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

In Exercises 19 and $20,$ find the parametric equation of the line through a…

In Exercises 19 and 20, sketch a graph of the line.

$x=5-2t, y=1+t,$…

In Exercises 5-10, find a set of (a) parametric equations and (b) symmetric …

$x=2t, y=2+t,$

$2-5=$ Find a vector equation and parametric equations for theline.T…

Find parametric equations for the lines.The line through $P(-2,0,3)$ and…

00:51

Compute the determinants in Exercises $1-8$ using a cofactor expansion acros…

01:21

Suppose the columns of a matrix $A=\left[\begin{array}{lll}{a_{1}} & {\c…

05:54

Let $\mathbf{v}_{1}=\left[\begin{array}{r}{2} \\ {3} \\ {-5}\end{array}\righ…

02:58

Explain why the columns of $A^{2}$ span $\mathbb{R}^{n}$ whenever the column…

05:09

Use the algorithm from this section to find the inverses of $$\left[…

04:20

Let $C$ be an $n \times n$ consumption matrix whose column sums are less tha…

02:22

If the equation $H \mathbf{x}=\mathbf{c}$ is inconsistent for some $\mathbf{…

01:34

Each equation in Exercises $1-4$ illustrates a property of determinants. Sta…

03:39

Show that if three shunt circuits (with resistances $R_{1}, R_{2}, R_{3} )$ …

01:44

In Exercises 31–36, mention an appropriate theorem in your explanation.S…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.