Answered: Consider the points A(−4, 2, 0),…

Consider the points A(−4, 2, 0), B(7,3,−2) and C(−2, −3,1) (a) Find a vector of length √6 in the direction of AB – 5AĆ (b) Determine

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 47P

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

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Consider the points A(-4, 2, 0), B(7, 3, −2) and C (−2, −3, 1)
(a) Find a vector of length √6 in the direction of AB – 5AC
(b) Determine <BAC, the angle between AB and AC
(c) Find the symmetric equations of the line passing through A and parallel to BC
(d) Find the equation (in point-normal form) of the plane containing the points A, B and C
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Step 3 Part B determination of angle BAC angle between vector AB and vector AC

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Step 4 Part C Symmetric equations of line passing through A and parallel to vector BC

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Step 5 Part D finding equation of plane containing points A, B and C

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