Question

Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v
(a)<44, -12>
(b)<34, -8>
(c)<14, 0>
(d)<14, 3>

Answer 1

@Butterfield1215 help please?

Answer 2

i have no idea what this im so sorry

Answer 3

\(\sf k<u,v>~ = ~<ku,kv>\)

Answer 4

What would K represent? @TheSmartOne

Answer 5

-4u
k is the -4

Answer 6

\(\sf\large <v_1, v_2> + <u_1,u_2> ~= ~<v_1+u_1, v_2+u_2>\)

Answer 7

11+3=14?

Answer 8

@TheSmartOne

Answer 9

where did you get 11+3 ?

-4 times each number in u
+2 times each number in v
then add corresponding components to get a new vector

Answer 10

so -4(-6)=-24
-4(1)=-4
(24,-4)
2(-5)=-10
2(2)=4
(-10,4)

Answer 11

yes, so far so good

Answer 12

negative number times a negative number = a positive number

Answer 13

So what is \(\sf -4 \times -6 = ?\)

Answer 14

Seems like you messed up in the first step, but then put the correct value at the end .-.

Answer 15

24+(-10)=14
-4+4=0
(14,0)?

Answer 16

yeah sorry that negative was an accident

Answer 17

yes

Answer 18

good job :)

Answer 19

Thank you!