Question

Express the given vector in terms of its coordinates:
(2,3) to (1,4)

Am I meant to draw the vector on a plane? and if so how would it look?

Answer 1

Yes, draw it. Put an arrow on the point at which you arrive. Subtract the coordinates, in the right order, to produce the numerical representation of the arrow (vector).

Answer 2

Technically you don't \(\it have\) to draw it. But I would encourage it so you can link the numbers to something that is more tangible :)

Answer 3

Oh awesome thanks guys. I also have problem with describing a span in 3D :

a. Span {(1,0,0), (1,1,0), (1,1,1)}
b. Span {(1,1,1), (1,-1,1) (-1,0,0)}
c. Span {(0.1, 0.1, 0) (0,0.1,0.1) (10,10,10)}
d. Span {(1,0,1), (0,1,1), (1,-1,0)}

My professor did something like that in class, but it was fairly easy:

Span {(1,0,0) , (-3,0,0)}
To describe that it would be : the x-axis is in 3D

Answer 4

@theEric @tkhunny

Answer 5

you can start to find the vector from 2 coordinates polar. Assume that vector would be 'n'.
You can find the final vector by find the vector between n and the third coordinates.

Answer 6

@kevin

I don't think we're supposed to find the final vector. we're supposed to describe what those set of coordinates represents.

Answer 7

I see