Suppose P and Q are two distinct points. Prove that there exists exactly one translation which sends P to Q

ganolrifv9 2022-07-30 Answered
Suppose P and Q are two distinct points. Prove that there exists exactly one translation which sends P to Q
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Answers (1)

yermarvg
Answered 2022-07-31 Author has 19 answers
Let  T : R n R n be a translation T ( x ) = x + a f o r s o m e a R n Now we need  T ( P ) = Q i . e . , T ( P ) = P + a = Q a = Q P if a tran slation map wants to send P to Q it has to be the unique translation namely  T ( x ) = x + ( Q P ) f o r a R n
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