If `A(-2,2,3)a n dB(13 ,-3,13)` are two points. Find the locus of a point `P` which moves in such a way that `3P A=2P Bdot`

Explanation

To find the locus of point \( P(x, y, z) \) such that \( 3PA = 2PB \), where \( A(-2, 2, 3) \) and \( B(13, -3, 13) \), we can follow these steps:

### Step 1: Write the distance formulas
The distance \( PA \) from point \( P \) to point \( A \) is given by:
\[ PA = \sqrt{(x + 2)^2 + (y - 2)^2 + (z - 3)^2} \]
The distance \( PB \) from point \( P \) to point \( B \) is given by:
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