Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q22.

Expert-verified

Precalculus Mathematics for Calculus

Found in: Page 637

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Sketching Vectors Sketch the given vector with initial point (4,3) , and find the terminal point.
$u = ⟨ - 8, - 1 ⟩$ .

The terminal point for the vector $⟨ - 8, - 1 ⟩$ is $(- 4, 1)$ and sketch of the given vector is

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1.Given information.

Given initial point (4,3).

Vector $⟨ - 8, - 1 ⟩$

Step 2. Terminal point and sketch the graph

Assume terminal point as $(x, y)$ substitute this in $v = <x - x_{1}, y - y_{1}>$ and rearrange to find terminal point.

Initial point is at $(4, 3)$ ,Let

$(x_{1}, y_{1}) = (4, 3)$

Vector is $⟨ - 8, - 1 ⟩$ To find terminal point $(x, y)$

$\begin{array}{l} v = 〈x - x_{1}, y - y_{1}〉 \\ ⟨ - 8, - 1 ⟩ = ⟨ x - 4, y - 3 ⟩ \\ x - 4 = - 8 \\ x = - 8 + 4 \\ x = - 4 \\ y - 2 = - 1 \\ y = - 1 + 2 \\ y = 1 \end{array}$

The terminal point is $(- 4, 1)$ .

Step 3. Sketch of the given vector, draw vectore between initial and terminal point.

Most popular questions for Math Textbooks

The work done by a force F in moving an object along a vector D is W = ______________.

Express the vector with initial point P and terminal point Q in component form.

A 100-lb weights hangs from a string as shown in figure. Find the tensions $T_{1}$ and $T_{2}$ in the strings.

Determine Dot products and angle between vectors.

a) $u \cdot v$

b) The angle between u and v to the nearest degree.

$u = <2, 7>, v = <3, 1>$

Sketching Vectors Sketch representations of the given vector with initial points at $(0,0),(2,3)$ and $(-3,5)$ .

$u = ⟨ - 7, 2 ⟩$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free