1. steps to find the dot product:
a: multiply the x-coordinates together
b: multiply the y-coordinates together
c. add up the answers from steps a and b
kaylak:
c
Vocaloid:
good
same thing for 2), just convert the vectors into <1,2> vector form
kaylak:
but there's no answer choice for 2 if you did 1*2?
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kaylak:
even if you added it no answer choice
Vocaloid:
<1,2> dot <1.2>
= 1^2 + 2^2 = ?
kaylak:
okay so 5
Vocaloid:
good
for 3) the magnitude is the square root of the dot product so sqrt([sqrt(45)])
Vocaloid:
for 4) you would first calculate 2u by doubling the coordinates of u, then calculate the dot product of 2u and v using the same method as the first problem
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kaylak:
-9
12
Vocaloid:
-3 * 2 is -6 not -9
so your new vector 2u is
2u = <-6,12>
v = <1, 2>
then calculate the dot product of these two vectors
kaylak:
oh crap
kaylak:
hold on
kaylak:
-6
12
-6
24
18 final answer
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