Problem

Find the sum of the given vectors and illustrate …

00:05

Problem 17 Easy Difficulty

Find the sum of the given vectors and illustrate geometrically.

$ \langle 3, 0, 1 \rangle , \langle 0, 8, 0 \rangle $

Answer

$$
<3,8,1>
$$

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Video Transcript

let's illustrate the some of this factor geometrically, we're going to do so by getting rid of the X and Y axis as well as the grid. So we're going to have our X, Y Z coordinate system here And we see that we have the vector 301. That's going to be three 0 1. So like right about here And then we're gonna have 080. So it's gonna be along here, I'm gonna say that that's right here. So we're gonna have our factor that looks like this, we want to add them together now. So when we do that a little more complicated in three dimensions, but we see that it's going to end up being with the parallelogram rule. Eventually it looks something like this. I'm gonna it's gonna match up with the parallelogram right here. So maybe we should draw it a little bit more like this, that's probably better. So disregard this one right here, So this is our new vector and the sum is going to be 381. That's the final factor.

Carson M.

California Baptist University

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Problem