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5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendic through the points A(1, 2, 5), B(-3,4,2), C(2, 1,7) and 6√6 and direction (u=i - / / j + ²/( k ) 1

5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendic through the points A(1, 2, 5), B(-3,4,2), C(2, 1,7) and 6√6 and direction (u=i - / / j + ²/( k ) 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through the points A(1, 2, 5), B(-3,4, 2), C(2, 1,7) and V₂ is a vector has length 1 1 2 6√6 and direction (u / /6i - / j + / / / k) √6 1- Prove that V₁ and V₂ are orthogonal (V₁ + V₁) 2- If (V3 = V₁ + V₂) and (V4 = V₁ - V₂), Find the area of parallelogram bounded by the vectors V3 and V4.
Transcribed Image Text:Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through the points A(1, 2, 5), B(-3,4, 2), C(2, 1,7) and V₂ is a vector has length 1 1 2 6√6 and direction (u / /6i - / j + / / / k) √6 1- Prove that V₁ and V₂ are orthogonal (V₁ + V₁) 2- If (V3 = V₁ + V₂) and (V4 = V₁ - V₂), Find the area of parallelogram bounded by the vectors V3 and V4.
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