# Consider the three planes $P_{1}:3x+15y+21z=9$ $P_{2}:x-3y-z=5,$ and $P_{3}:2x+10y+14z=5$ Then, which one of the following is true ?   Option: 1 $P_{2}$ and $P_{3}$ are parallel   Option: 2 $P_{1}\; \text {and}\; P_{2}$ are parallel Option: 3 $P_{1}\; \text {and}\; P_{3}$ are parallel   Option: 4 $P_{1},P_{2}\; \text {and}\; P_{3}$ all are parallel.

Given equation od planes are

$\\P_{1}: x+5 y+7 z=3 \\ P_{2}: x-3 y-z=5 \\ P_{3}: x+5 y+7 z=\frac{5}{2}$

P1 and P3 are parallel.

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