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Give a geometric description of $\operatorname{Span}\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}$ for the vectors in Exercise $16 .$

The plane that passes through the origin, the point $( 3,0,2 ) ,$ and the point$( - 2,0,3 )$AK. $A$ the $x$ z-plane

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 3

Vector Equations

Introduction to Matrices

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All right, so four problem. 20. Need to consider the space penned by B one B to where these two vectors are found. Our exercise 16. How ready? Down. So be one will be three ho too. And beat You will be negative. 203 So consider the space bed by these two pictures. So let's first drawer probably, Uh um, a coordinate. So in the graph we have Ah, we have access. Is why exes and Z X is so We're friends. We first have be one, which is three whole too. So we count three on XX ISS and zero. Why exes and two on Z X is so Here is our be one. This is the one. And we also need to troll out through the B two. So we first have negative two on excesses, No excesses. So he's active to hear. And zero and three eager. So this will be our Me too. So what is the space banned by these two vectors? So these two vectors is just a line. You can't just treat it as a line. And we know that two lives, if they were given to license, are not parallel these two lines will form a point. So So our our space spend by. Sorry, I just stroll this smaller. So excuse me, I'll draw any smaller and maybe Yusa. Lynda Carter. So I'll use the red collar here. This is it a span off anyone? Be too. So because see, from our or more a graph that this is, uh this is a play in a three dimensional space.

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