1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is this a right triangle? Calculate the area of the triangle. 2. If P1is (1,2,-3) and P2 is(-4,0,5), find • a) The distance P1P2 . • b) The vector equation of the line P1 P2 . • c)The shortest distance between the line P1P2and point P3(7,-1,2)

1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is this a right triangle? Calculate the area of the triangle. 2. If P1is (1,2,-3) and P2 is(-4,0,5), find • a) The distance P1P2 . • b) The vector equation of the line P1 P2 . • c)The shortest distance between the line P1P2and point P3(7,-1,2)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 3.7P: A surveyor measures the distance across a straight river by the following method (Fig. P3.7)....

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