Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4, 5).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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**Problem Statement:**

Find the distance from the point \( P(0, 2, 8) \) to the line passing through the two points \( Q(1, -1, 4) \) and \( R(-1, -4, 5) \).

**Explanation:**

This problem involves calculating the perpendicular distance from a point to a line in three-dimensional space. To find this distance, use the vector approach or the formula for distance from a point to a line using cross products.
Transcribed Image Text:**Problem Statement:** Find the distance from the point \( P(0, 2, 8) \) to the line passing through the two points \( Q(1, -1, 4) \) and \( R(-1, -4, 5) \). **Explanation:** This problem involves calculating the perpendicular distance from a point to a line in three-dimensional space. To find this distance, use the vector approach or the formula for distance from a point to a line using cross products.
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