Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Find $ a + b , 4a + 2b , \mid a \mid $, and $ \mid a - b \mid $.

$ a = 5i + 3j , b = -i - 2j $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$|\mathbf{a}-\mathbf{b}|=\sqrt{6^{2}+5^{2}}=\sqrt{36+25}=\sqrt{61}$$

01:17

Alan Ghazarians

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Johns Hopkins University

Oregon State University

University of Michigan - Ann Arbor

Boston College

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

02:29

Find a + b,2a + 3b…

01:05

Find $ a + b , 4a + 2b , \…

00:17

Find $ a \cdot b $.

01:21

02:42

Given vectors a and b, fin…

03:40

Find $a+b, a-b, 4 a+5 b, 4…

04:12

05:01

01:19

If $(a+b)+j(a-b)=(2+j 5)^{…

01:33

if $(a+b)+f(a-b)=(2+j 5)^{…

04:07

03:07

03:56

02:17

Multiply and write your an…

So for this problem we are given that A. Is going to equal the vector um five I plus three J. We're just going to put this in component notation 53 And then the b vector is going to equal negative i minus two J. So putting in component notification will get negative one negative two. So then when we add these together um A vector plus the B factor will end up getting that A. Plus we equals 5 -1, which is 24 And then 3 -2 which is gonna be one. That's a. Plus the vector. And then we can also calculate other things. Let's do the magnitude of a. So we see that the magnitude of a is going to equal the square root of five square. So Square 25. What's The Square Root of 9? Okay, now, between the square root of 34 as our final answer.

View More Answers From This Book

Find Another Textbook