Question:
The distance of the point \( (1, -2, 3) \) from the plane \( x - y + z = 5 \) measured parallel to the line
\[
\frac{x}{2} = \frac{y}{3} = \frac{z - 1}{6}
\]
is
The distance of the point \( (1, -2, 3) \) from the plane \( x - y + z = 5 \) measured parallel to the line
\[
\frac{x}{2} = \frac{y}{3} = \frac{z - 1}{6}
\]
is
Show Hint
For finding the distance from a point to a plane in a given direction, use the projection of the point onto the plane.
Updated On: Jan 12, 2026
- \( \frac{3}{2} \)
- 3
- \( \sqrt{5} \)
- 4
Show Solution
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The Correct Option is C
Solution and Explanation
The distance from a point to a plane in the direction of a line can be computed by projection. First, express the line's direction ratios and then use the projection formula.
Final Answer: \[ \boxed{\sqrt{5}} \]
Final Answer: \[ \boxed{\sqrt{5}} \]
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