The position vectors of points A, B and C are given as OA = 4i + j-3k , OB = 7i+3j-5k and OC = 5i+4j–4k respectively. i. Show that ABC is a right-angled triangle and hence determine its area. ii. Find an equation of the plane that passes through the points A, B and C.
The position vectors of points A, B and C are given as OA = 4i + j-3k , OB = 7i+3j-5k and OC = 5i+4j–4k respectively. i. Show that ABC is a right-angled triangle and hence determine its area. ii. Find an equation of the plane that passes through the points A, B and C.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 2E
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