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Mathematics 15 Online
zarkam21:

B

zarkam21:

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Vocaloid:

good

zarkam21:

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zarkam21:

C

Vocaloid:

just look at the x-coordinates 2(1) - 3(2) = ?

zarkam21:

-3

Vocaloid:

2 - 6 = ?

zarkam21:

OH shoot lol i was doing 5 sorry

zarkam21:

A

Vocaloid:

perfect

zarkam21:

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zarkam21:

D

Vocaloid:

good

zarkam21:

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zarkam21:

(-2,2)

Vocaloid:

just look at the x-coordinates first 2 - 3(1) = ?

zarkam21:

2-3

zarkam21:

-1

Vocaloid:

and that equals?

zarkam21:

-1

Vocaloid:

awesome so that's the new x-coordinate of the vector now the y-coordinates 3-(3)1 = ?

zarkam21:

0

Vocaloid:

good so putting the soln's together (-1,0) = your sol'n

zarkam21:

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zarkam21:

A and C

Vocaloid:

good

zarkam21:

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zarkam21:

D

Vocaloid:

awesome

zarkam21:

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zarkam21:

D

Vocaloid:

good

zarkam21:

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zarkam21:

A

Vocaloid:

magnitude = sqrt(x^2+y^2) = ?

zarkam21:

D

zarkam21:

the calc is giving me problems

zarkam21:

So im just basically guessing at this point :/

Vocaloid:

be careful with parentheses sqrt([-3]^2 + 2^2] = ?

Vocaloid:

it's fairly simple to do in your head, what's (-3)^2 + 2^2?

zarkam21:

got it sqrt 13

Vocaloid:

perfect, so B

zarkam21:

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zarkam21:

(2,-6)

Vocaloid:

the dot product is only one number 1. multiply the x-coordinates 2. multiply the y-coordinates 3. then sum the steps from 1 and 2

zarkam21:

-4

Vocaloid:

perfect, that's it

zarkam21:

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zarkam21:

B,C,D

Vocaloid:

is (-1)(-2) + (3)(-3) equal to 0?

zarkam21:

-7

Vocaloid:

awesome so it's not orthogonal what about (1)(-1) + 3(3) = ?

zarkam21:

8

Vocaloid:

awesome so C and D are both not orthogonal what about (-1)(-6) + (2)(3) =?

zarkam21:

12

Vocaloid:

(-1)(-6) + (-2)(3) =?

Vocaloid:

missed a - sign there whoops

zarkam21:

0

Vocaloid:

awesome so A+B are the orthogonal ones

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