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 thearea 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)

Answered: Image /qna-images/answer/12720705-82ff-4695-8adb-f150be35286f.jpg

Answered: 1. Show that vectors a= (4.0,-1), b…

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.

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter15: Place And Time

Section: Chapter Questions

Problem 2SA: What, on a sphere, is analogous to a two-dimensional Cartesian coordinate system?

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Question

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)

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