Question:
The distance of the point \( (-5, -5, -10) \) from the point of intersection of the line
\[
r = -2i - j + 2k + \lambda(3i + 4j + 2k)
\]
and the plane \( r \cdot (i - j + k) = 5 \) is:
The distance of the point \( (-5, -5, -10) \) from the point of intersection of the line
\[
r = -2i - j + 2k + \lambda(3i + 4j + 2k)
\]
and the plane \( r \cdot (i - j + k) = 5 \) is:
Show Hint
The distance from a point to a line and plane can be found using the appropriate vector formulas for distance.
Updated On: Jan 14, 2026
- 13
- 12
- 10
- 15
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
First, find the intersection point of the line and the plane. Then, calculate the distance from the given point to the intersection using the distance formula. The distance is 13.
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