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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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.
You ARE REQUIRED to use dot and cross products to determine whether the chosen point lies within or outside 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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