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erik [133]
2 years ago
5

Can you help me please ​

Mathematics
1 answer:
adoni [48]2 years ago
3 0

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,

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>
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