The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0 is:
(A) ⃗r × (î – kˆ) + 2 = 0
(B) ⃗r.(î – kˆ) – 2 = 0
(C) ⃗r.(î – kˆ) + 2 = 0
(D) ⃗x × (î – kˆ) + 2 = 0
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The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0 is:
(A) ⃗r × (î – kˆ) + 2 = 0✅❤
(B) ⃗r.(î – kˆ) – 2 = 0
(C) ⃗r.(î – kˆ) + 2 = 0
(D) ⃗x × (î – kˆ) + 2 = 0
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Answer:
The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x – y + z = 0 is:
(A) ⃗r × (î – kˆ) + 2 = 0✔
(B) ⃗r.(î – kˆ) – 2 = 0
(C) ⃗r.(î – kˆ) + 2 = 0
(D) ⃗x × (î – kˆ) + 2 = 0
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