Given vector a = (- 3,2,5) B = (1, - 3,0) C = (7, - 2,1) find | A-B + C | ^ 2 (| a | + | B | + | C |) ^ 2
A-B+C=(-3-1+7,2+3-2,5-0+1)=(3,3,6)
|A-B+C|^2 =3^2+3^2+6^2=54
|A | = root ((- 3) ^ 2 + 2 ^ 2 + 5 ^ 2) = root 38
Similarly, | B | = radical 10, | C | = 3, radical 6
(| a | + | B | + | C |) ^ 2 = (root 38 + root 10 + 3 root 6) ^ 2
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