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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