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]

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]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 72E

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