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kindly answer shortly (b) This roof panel is illuminated and you are to calculate the light reflected from it. In the left of Figure Q2-2

kindly answer shortly

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(b) This roof panel is illuminated and you are to calculate the light reflected from it. In the left of Figure Q2-2 is shown the panel, one comer at 40,0,10.5, the corner below it which touches the top of the wall at 40,0,10, the midpoint of the upper side of the panel P, and vectors a and b between two comers and P. In the right figure are shown relevant unit vectors originating at P: V is towards the eye at 26, 12, 21, L is towards the light at position 10, -2, 18, N is normal to the panel and R is the reflection vector. Page 5 L 40. 0, 10 40, 0, 10.5 Figure Q2-2 (i) Show that P is at point 20,4,13.5 and hence find a and b. (ii) Compute the unit vectors N, V, L and R. (iii) Suppose the roof has diffuse reflection coefficient 03, specular coefficient W = 0.4 and specular reflection exponent no -5. Find the proportion of the light received by the viewer

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