Consider the plane having the points A(1,2,3), B(3,2,6), and C(-1,2,4). (a) Using point A as a...
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Consider the plane having the points A(1,2,3), B(3,2,6), and C(-1,2,4). (a) Using point A as a reference, give the vector equation of the plane with these points. (b) Find the surface unit normal of this plane using cross-product. (c) Calculate the area of the parallelogram having incident sides extending from point A to each of the other two points (B and C points) using cross-product. (d) Construct an oblique pyramid with D(0,0,0). Calculate the volume of this pyramid using vector products. Consider the plane having the points A(1,2,3), B(3,2,6), and C(-1,2,4). (a) Using point A as a reference, give the vector equation of the plane with these points. (b) Find the surface unit normal of this plane using cross-product. (c) Calculate the area of the parallelogram having incident sides extending from point A to each of the other two points (B and C points) using cross-product. (d) Construct an oblique pyramid with D(0,0,0). Calculate the volume of this pyramid using vector products.
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aTo find the vector equation of the plane using point A as a reference we need to find two vectors that lie in the plane Lets find the vectors AB and ... View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Posted Date:
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