B (5,3,2) Х axis (1,1,5) A (5,-3,2). Z axis Y axis O (0,0,0) Look at figure 1 carefully. Your task is to determine the position of the shadow of the blue ball at (1,1,5) on the surface of the orange block. The positions of the three vertices of the surface, point A, point B, and point O are given in the figure, along with the direction of the three axes. The direction of the sun-rays is given by the vector d=<1,0,–2.5> . Let the position of the shadow is the point (X,Y,Z), 1(a) What is the value of X? 1(b) What is the value of y? 1(c) What is the value of z? [HINT: X+Y+Z should be close to 4.6]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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в (5,3,2)
Х аxis
(1,1,5)
A (5,-3,2)
Z axis
Y axis
O (0,0,0)
Look at figure 1 carefully.
Your task is to determine the position of the shadow of the blue ball at (1,1,5) on the surface of the orange block.
The positions of the three vertices of the surface, point A, point B, and point O are given in the figure,
along with the direction of the three axes.
The direction of the sun-rays is given by the vector d=<1,0,–2.5>.
Let the position of the shadow is the point (X,Y,Z),
1(a) What is the value of X?
1(b) What is the value of y?
1(c) What is the value of z?
[HINT: X+Y+Z should be close to 4.6]
Transcribed Image Text:в (5,3,2) Х аxis (1,1,5) A (5,-3,2) Z axis Y axis O (0,0,0) Look at figure 1 carefully. Your task is to determine the position of the shadow of the blue ball at (1,1,5) on the surface of the orange block. The positions of the three vertices of the surface, point A, point B, and point O are given in the figure, along with the direction of the three axes. The direction of the sun-rays is given by the vector d=<1,0,–2.5>. Let the position of the shadow is the point (X,Y,Z), 1(a) What is the value of X? 1(b) What is the value of y? 1(c) What is the value of z? [HINT: X+Y+Z should be close to 4.6]
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