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I think j is the unit vector that lays on the y-axis right? is that [0,1,0] ?
\[[1,-3,-2]+[4,-5,3]-[5(0),5(1),5(0)]\]
well first perform those operations above
\[[1+4-5(0),-3+(-5)-5(1),-2+3-5(0)]\]
We are just combining the x components, the y's , and the z'
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then | | means we will find the magintude of that resulting vector
\[\sqrt{(1+4-5(0))^2+(-3+(-5)-5(1))^2+(-2+3-5(0))^2}\]
are you still there?
you said j was the unit vector that lays on the y-axis
so -5j=-5(0,1,0)=(0,-5,0)
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u+v-5j =(1,-3,-2) +(4,-5,3) +(0,-5,0) --------- ( , , )
\[|(a,b,c,)|=\sqrt{a^2+b^2+c^2}\]
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