2.) Three vectors extending from the origin are given as A = 5ax + ay - 2az, B = -2ax + 7ay - az, and C=2ax + 3ay + 3az. Find: (a) a unit vector perpendicular to both A and B; (b) a unit vector perpendicular to vectors B-A and C-A; (c) the area of the triangle defined by the heads of 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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subject: electromagnetics topic: Vector analysis
2.) Three vectors extending from the origin are given as A = 5ax+ay - 2az, B = -2ax + 7ay - az and
C=2ax + 3ay + 3az. Find: (a) a unit vector perpendicular to both A and B; (b) a unit vector
perpendicular to vectors B-A and C-A; (c) the area of the triangle defined by the heads of A, B,
and C.
Transcribed Image Text:2.) Three vectors extending from the origin are given as A = 5ax+ay - 2az, B = -2ax + 7ay - az and C=2ax + 3ay + 3az. Find: (a) a unit vector perpendicular to both A and B; (b) a unit vector perpendicular to vectors B-A and C-A; (c) the area of the triangle defined by the heads of A, B, and C.
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