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-Suppose you have a box centi C(a, b, a+b), having a length (along x-axis) of Za units, width (along y-axis) 4b units and height (along z-axis) of 8(a + b) units. Using dot and cross products, illustrate whether the point P(4a², b², 16ab) lies inside or outside of the box.

-Suppose you have a box centi C(a, b, a+b), having a length (along x-axis) of Za units, width (along y-axis) 4b units and height (along z-axis) of 8(a + b) units. Using dot and cross products, illustrate whether the point P(4a², b², 16ab) lies inside or outside of the box.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 29E
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Question

a = 5

b = 2

Illustrate the coordinates of each corner of the box, and clearly specify whether the point P is in front or behind each face of the box.

2. Suppose you have a box centred at C(a, b, a + b), having a length (along x-axis) of 2a units, width (along y-axis) 4b units and height (along z-axis) of 8(a + b) units. Using dot and cross products, illustrate whether the point P(4a², ¹b², 16ab) lies inside or outside of the box.
Transcribed Image Text:2. Suppose you have a box centred at C(a, b, a + b), having a length (along x-axis) of 2a units, width (along y-axis) 4b units and height (along z-axis) of 8(a + b) units. Using dot and cross products, illustrate whether the point P(4a², ¹b², 16ab) lies inside or outside of the box.
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