Two planes a₁x + b₁y + c₁z + d₁ = 0 and a₂x + b₂y + c₂z + d₂ = 0 are parallel if:
Two planes a₁x + b₁y + c₁z + d₁ = 0 and a₂x + b₂y + c₂z + d₂ = 0 are parallel if:
- A. a₁a₂ + b₁b₂ + c₁c₂ = 0
- B. a₁/a₂ = b₁/b₂ = c₁/c₂
- C. a₁/a₂ = b₁/b₂ ≠ c₁/c₂
- D. a₁a₂ = b₁b₂ = c₁c₂
Answer: B) a₁/a₂ = b₁/b₂ = c₁/c₂
Explanation: For planes to be parallel, their normal vectors must be proportional, meaning their direction ratios are in constant proportion: a₁/a₂ = b₁/b₂ = c₁/c₂.
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