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3. Let OÁ = i +2j+ k, OB = 3i+j+2k and OC = 5i+j+ 3k. (a) i. Find AB × AČ. ii. Find the area of AABC. Hence, find the distance from C to AB. iii. Find the equation of the plane passing through A, B and C. (b) Suppose that the three altitudes of AABC are concurrent at D. Find OĎ.

3. Let OÁ = i +2j+ k, OB = 3i+j+2k and OC = 5i+j+ 3k. (a) i. Find AB × AČ. ii. Find the area of AABC. Hence, find the distance from C to AB. iii. Find the equation of the plane passing through A, B and C. (b) Suppose that the three altitudes of AABC are concurrent at D. Find OĎ.

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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3. Let OÁ = i + 2j + k, OB = 3i+j+2k and OC = 5i+j+ 3k. AĆ. AB (a) i. Find ii. Find the area of AABC. Hence, find the distance from C to AB. iii. Find the equation of the plane passing through A, B and C. (b) Suppose that the three altitudes of AABC are concurrent at D. Find OĎ. X
Transcribed Image Text:3. Let OÁ = i + 2j + k, OB = 3i+j+2k and OC = 5i+j+ 3k. AĆ. AB (a) i. Find ii. Find the area of AABC. Hence, find the distance from C to AB. iii. Find the equation of the plane passing through A, B and C. (b) Suppose that the three altitudes of AABC are concurrent at D. Find OĎ. X
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