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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 55P: The arc length formula says the length sof arc subtended by angle in a circle of radius r is given...

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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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