   Chapter 12.2, Problem 45E

Chapter
Section
Textbook Problem

# (a) Draw the vectors a = ⟨3, 2⟩, b = ⟨2, −1⟩, and c = ⟨7, 1⟩.(b) Show, by means of a sketch, that there are scalars s and t such that c = sa + tb.(c) Use the sketch to estimate the values of s and t.(d) Find the exact values of s and t.

(a)

To determine

To sketch: The vectors a=3,2,b=2,1, and c=7,1.

Explanation

Given:

Two-dimensional vectors a is 3,2, b is 2,1, and c is 7,1.

The three two-dimensional vectors lie on xy-plane.

• Plot the point (3,2) in xy-plane and connect the origin to point through line with origin to point direction this forms a vector a=3,2

(b)

To determine

To sketch: The summation vector c=sa+tb.

(c)

To determine

To estimate: The values of s and t using sketch.

(d)

To determine

To find: The exact values of s and t.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### (1252/3)1/2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Problems 1-16, use integration by parts to evaluate the integral. 7.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: f(x) = 3x x3 is concave down for x 1.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 