If the position vector of the vertices A,B and C of a `DeltaABC` be `(hati + 2hatj + 3hatk), (2hati + 3hatj + hatk)` and `(3hati + hatj +2hatk)` respectively, prove that `DeltaABC` is equilateral.

If the position vector of the vertices A,B and C of a `DeltaABC` be `(

1.	If the position vector of the vertices A,B and C of a `DeltaABC` be `(hati + 2hatj + 3hatk), (2hati + 3hatj + hatk)` and `(3hati + hatj +2hatk)` respectively, prove that `DeltaABC` is equilateral.
Answer» Show that `\|vec(AB)\|= \|vec(BC)\| = \|vec(CA)\|`

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