Question

Can you help me please ​

Answer 1

The answers are:

• 2u = <10,2>
• -3u = <-18,-6>
• u+v = <11,3>
• 3u-4v = <-9,-5>

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,

`2u = 2(5,1) = (10,2)`

`-3v = -3(6,2) = (-18,-6)`

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

`u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)`

And

`3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)`

Hence,

The answers are:

• 2u = <10,2>
• -3u = <-18,-6>
• u+v = <11,3>
• 3u-4v = <-9,-5>