A triangle PQR in 3D-space has vertices P(1,2,3), Q(5,4,2), R(0,5,5). Use vectors to decide which one of the following properties the triangle has. Explain, please. Possible answers: 1. right angled at R 2. not right angled at P, Q, or R 3. right angled at P 4. right angled at Q

A triangle PQR in 3D-space has vertices P(1,2,3), Q(5,4,2), R(0,5,5). Use vectors to decide which one of the following properties the triangle has. Explain, please. Possible answers: 1. right angled at R 2. not right angled at P, Q, or R 3. right angled at P 4. right angled at Q

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.CR: Chapter Review

Problem 3CC

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Question

A triangle PQR in 3D-space has vertices P(1,2,3), Q(5,4,2), R(0,5,5). Use vectors to decide which one of the following properties the triangle has. Explain, please.
Possible answers:
1. right angled at R
2. not right angled at P, Q, or R
3. right angled at P
4. right angled at Q

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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