The two vectors A⃗ =(4.7)i^+(6.9)j^+(3.7)k^A→=(4.7)i^+(6.9)j^+(3.7)k^ and B⃗ =(4.9)i^+(2.3)j^+(6.7)k^B→=(4.9)i^+(2.3)j^+(6.7)k^ define a plane containing a triangle. One vertex of this triangle contains both tails of the two vectors while the other two vertices contain each of the heads of the vectors, respectively. What is the magnitude of a vector perpendicular to this plane? Hint: Find the cross product of the two vectors.

The two vectors A⃗ =(4.7)i^+(6.9)j^+(3.7)k^A→=(4.7)i^+(6.9)j^+(3.7)k^ and B⃗ =(4.9)i^+(2.3)j^+(6.7)k^B→=(4.9)i^+(2.3)j^+(6.7)k^ define a plane containing a triangle. One vertex of this triangle contains both tails of the two vectors while the other two vertices contain each of the heads of the vectors, respectively. What is the magnitude of a vector perpendicular to this plane? Hint: Find the cross product of the two vectors.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.41P: For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?

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