Consider the plane passing through the points A(2, 2, 1) , B(3, 4, 2) and C(7, 0, 6) . What are the direction ratios of the normal to the plane? - Mathematics MCQ Mathematics Mock Test - 11 2026 | ExamTest.live

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Consider the plane passing through the points A (2, 2, 1), B (3, 4, 2) and C (7, 0, 6) . What are the direction ratios of the normal to the plane?

Solution & Step-by-step Explanation

From the previous question, the equation of the plane is x - z - 1 = 0 .The general equation of a plane is a x + b y + cz + d = 0, where ⟨ a, b, c ⟩ are the direction ratios of the normal.For x + 0 y - z - 1 = 0, the direction ratios are ⟨ 1, 0, - 1 ⟩ .

Try it yourself before checking the explanation above.

Consider the plane passing through the points A (2, 2, 1), B (3, 4, 2) and C (7, 0, 6) . What are the direction ratios of the normal to the plane?

⟨ 1, 0, 1 ⟩

⟨ 0, 1, 0 ⟩

⟨ 1, 0, - 1 ⟩

None of the above

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