Question

Vectors Q

Answer 1

For a,
|v1| = 2sqrt10
|v2| = sqrt65

Right?

Answer 2

Right

Answer 3

Yes

Answer 4

For B I was a little unsure... would these be the unit vectors?
\[(\frac{ 1 }{ \sqrt10 }, \frac{ 3 }{ \sqrt 10 })\]
and
\[(\frac{ -4 }{ \sqrt65 }, \frac{ 7 }{ \sqrt65 })\]

Answer 5

Yes ...but in first one it will be

-3/square root10

Answer 6

Unit vector is just v/|v|

Answer 7

Right! Good catch. What about the graph?
I drew a dot at (-4, 7) and another dot at (2, -6)... then a dot at (-2, 1)... I don't know how to draw vectors :P

Answer 8

Yes u have done right
v1 and v2 u can simply plot
For v1+v2 u have to do vector addition
v1=2i-6j
v2=-4i+7j
v1 + v2= 2i-4i-6j+7i
=-2i+j

Answer 9

Where do the i and the j come from? Wouldn't it just be (-2, 1) for the vector addition?

How would I graph all of this?

Answer 10

Yes, that's just another way of writing vectors,\[\large\rm <-2,1>\quad=\quad -2\hat i+1\hat j\]i is the horizontal unit vector,
we have 2 of those going in the left direction.
j is the vertical unit vector.

Answer 11

What are we doing Pebs? Graphing stuff?

Answer 12

Zep, how would I graph these?
:)

Answer 13

Yeah, here is the thingy

Answer 14

c

Answer 15

So umm

Answer 16

A dot a (-4, 7), a dot at (2, -6)... then a dot at (-2, 1)?