(a) Describe the intersection between a straight path and the surface of a sphere. The initial...

(a) Describe the intersection between a straight path and the surface of a sphere. The initial path of a fired bullet is defined by P(t) = S + tV where t ≥ 0, S = (5,1,4) and V = (-3,2,-1). A spherical ball with radius 5 is centered at the origin.

(i) Calculate the intersection between the path of the bullet and the surface of the sphere.

(ii) Using your answer in part (i), determine the point where the bullet hits the sphere.

(b) A light ray hits a perfectly shiny surface with L = <3,4,5> and N = <5,3,1>.

(i) Normalise L and N.

(ii) Calculate the reflection vector in this instance.

Expert Solution

milcah answered 2 years ago

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