Question

Given: U= <-3,4> v=12i-5j
2U-V

Answer 1

what do you think

Answer 2

\[2<-3,4>-<12,-5>=<-6,8>-<12,-5>=<-6-12,8-(-5)>\]

Answer 3

so you disregard the i and j?

Answer 4

i=<1,0>
j=<0,1>

Answer 5

oh okay that makes sense I remember now. so if you were to multiply i and j, its just like -36, -20?

Answer 6

?

Answer 7

like for the values given, UxV= <-36,-20>

Answer 8

2U -> 2 <-3,4> -> <-6,8>
- V -> -<12,-5> -> <-12,5>
--- ---------- --------
<-18,13>

Answer 9

like for the values given, UxV= <-36,-20>

Answer 10

what do you want to do with that?

Answer 11

Given: U= <-3,4> v=12i-5j
how do i multiply them

Answer 12

do you want the dot product or the cross product?

Answer 13

is there a dot between U and V
or
a cross between U and V?

Answer 14

\[U \cdot V =<a,b> \cdot <c,d>=ac+bd\]
\[U \times V=<a,b> \times <c,d>=ad-bc\]