Mathematics
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zarkam21:
B
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zarkam21:
Vocaloid:
good
zarkam21:
zarkam21:
C
Vocaloid:
just look at the x-coordinates
2(1) - 3(2) = ?
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zarkam21:
-3
Vocaloid:
2 - 6 = ?
zarkam21:
OH shoot lol i was doing 5 sorry
zarkam21:
A
Vocaloid:
perfect
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zarkam21:
zarkam21:
D
Vocaloid:
good
zarkam21:
zarkam21:
(-2,2)
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Vocaloid:
just look at the x-coordinates first
2 - 3(1) = ?
zarkam21:
2-3
zarkam21:
-1
Vocaloid:
and that equals?
zarkam21:
-1
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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:
zarkam21:
A and C
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Vocaloid:
good
zarkam21:
zarkam21:
D
Vocaloid:
awesome
zarkam21:
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zarkam21:
D
Vocaloid:
good
zarkam21:
zarkam21:
A
Vocaloid:
magnitude = sqrt(x^2+y^2) = ?
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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?
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zarkam21:
got it sqrt 13
Vocaloid:
perfect, so B
zarkam21:
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
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zarkam21:
-4
Vocaloid:
perfect, that's it
zarkam21:
zarkam21:
B,C,D
Vocaloid:
is (-1)(-2) + (3)(-3) equal to 0?
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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
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Vocaloid:
(-1)(-6) + (-2)(3) =?
Vocaloid:
missed a - sign there whoops
zarkam21:
0
Vocaloid:
awesome so A+B are the orthogonal ones