Question

Consider the planes: $P_{1}: 3x + 15y + 21z = 9$, $P_{2}: x - 3y - z = 5$, $P_{3}: 2x + 10y + 14z = 5$. Which of the following is TRUE?

• A. $P_1$ and $P_2$ are parallel
• B. $P_1$ and $P_3$ are parallel
• C. $P_2$ and $P_3$ are parallel
• D. $P_1, P_2, P_3$ are all parallel

Hint:

Planes are parallel if their normal vectors are multiples of each other.

Answer 1

The Correct Option is B