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Translate the triangle $PQR$ with vertices $P (2,4,-7), Q(3,7,18), R(-5,,12,8)$ by $(-3,2,5)$. This is me question , it came in our test and i am afraid to come in the final exam so kindly, i want to know how to solve such questions, our lecturer tough us only about $2D$ and he did not teach us about $3D$ so i understand $2D$ but i could not understand $3D$ . I plz, can u explain the solution step by step because i want to know how u solve it .

thank in advance!

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Just add the corresponding coordinates. So $P$ becomes $(2,4,-7)+(-3,2,5) = (2+(-3),4+2,-7+5) = (-1,6,-2)$. Repeat for $Q,R$. –  copper.hat Nov 2 '12 at 14:55

1 Answer 1

Denote by $\tau(PQR)=\tau P \tau Q \tau R $ translated triangle from conditions we have that $$\tau P=\tau(2,4,-7)=(2,4,-7)+(-3,2,5)=(2-3,4+2,-7+5)=(-1,6,-2)$$ $$\tau P=\tau(3,7,18)=(3,7,18)+(-3,2,5)=(3-3,7+2,18+5)=(0,9,33)$$ $$\tau P=\tau(-5,12,8)=(-5,12,8)+(-3,2,5)=(-5-3,12+2,8+5)=(-8,14,13)$$

$$\tau(PQR=(-1,6,-2),(0,9,33),(-8,14,13)$$

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