Answer:
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>
Step-by-step explanation:
Given vectors are:
u = <5,1>
v = <6,2>
The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs
Now,
[tex]2u = 2(5,1) = (10,2)[/tex]
[tex]-3v = -3(6,2) = (-18,-6)[/tex]
Now we have to add two vectors
In order to add two vectors, their respective coordinates are added:
So,
[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]
And
[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]
Hence,
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>
