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Find the sum of the given vectors and illustrate geometrically.

$ \langle -1, 4 \rangle , \langle 6, -2 \rangle $

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00:46

Alan Ghazarians

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Baylor University

University of Nottingham

Idaho State University

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.

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Find the sum of the given …

02:46

02:34

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01:23

$15-18$ Find the sum of th…

02:35

mhm. Our goal for this problem is to find the sum of the given vectors and illustrated illustrate geometrically. So let's get rid of this and we'll go back to the grids so we'll show the X axis and the y axis as well as our grid. So when we do some vectors we're going to have negative on four is our first factor. So negative 1234 That's our first factor, shouldn't be wavy, but that's okay. And then six, is give me your next factor. So when we add these, we're going to use what's known as the parallelogram hole. So because these are both next to each other, we can create a parallelogram in which we produced this factor right here, basically connect all the vectors together and then this vector right here until it reaches this. And this creates a parallelogram. What's known as the parallelogram. So we see that by doing this, the sum is going to be 52 And sure enough it was pretty close, it went over five, but it should be more like up here

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