What is the perpendicular distance from the point (1, 2, 3) to the plane 2x - 2y + z - 10 = 0?
Answer and explanation
Correct answer: D. 3 units
- Step 1: Distance formula: d = |Ax0 + By0 + Cz0 + D| / sqrt(A^2 + B^2 + C^2). Step 2. Numerator = |2(1) - 2(2) + 3 - 10| = |2 - 4 + 3 - 10| = |-9| = 9. Denominator = sqrt(4 + 4 + 1) = sqrt(9) = 3. d = 9 / 3 = 3. Answer: 3 units. Why not the others:* The formula calculates the shortest geometric distance along the surface normal.
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