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Show that |{:(x,y,z),(2x+2a,2y+2b,2z+2c)...

Show that `|{:(x,y,z),(2x+2a,2y+2b,2z+2c),(a,b,c):}|=0`

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To solve the determinant \( |(x, y, z), (2x + 2a, 2y + 2b, 2z + 2c), (a, b, c)| = 0 \), we can follow these steps: ### Step 1: Write the determinant We start with the determinant: \[ D = \begin{vmatrix} x & y & z \\ 2x + 2a & 2y + 2b & 2z + 2c \\ ...
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