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:

• A. 13
• B. 12
• C. 10
• D. 15

Hint:

The distance from a point to a line and plane can be found using the appropriate vector formulas for distance.

Answer 1

The Correct Option is A

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.