# Question:intersecting planes

## Question:intersecting planes

Maple

Hello everybody. My lovely Dutch math book is progressing. Last week ive been scanning a copy of Advanced Engineering Mathematics from the library, a grueling task which took me 24 full hours to complete. But ive got a book that should be able to teach it with the right mindset and social contract (this Dutch book is too distracting, i cant even think). I will finish it though.. The sturdy that stands i guess.

Any way the problem here is that the side from which a line interfaces with a shape in the 3D plane only has an x component and is lacking a y and z component. So the calculations are impossilbe, because you cant devide through 0. I suspect its something simple, but like said the repertoire is so terrible it feels like im scrambled eggs if i even remotely think about solving the problem. The facade makes the man right? Feels more like one of these spagetti westerns with only a frontage without anything behind it.

The Question is as follows (translated from Dutch): "Given is the half ball with the equation z=sqrt(4-x^2-y^2). Check that the given point lays on the half ball and determin the eqation of the interface with the half ball in the given point."

So basically have a vector from that given point that will hit the surface of the half ball.

 > #Opdracht 2
 > #a.
 >
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 (1)
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 (2)
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 (3)
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 (4)
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 (5)
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 (6)
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 (7)
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 (8)
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 (9)
 > #b.
 >
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 (10)
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 (11)
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 (12)
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 >
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 (13)
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 (14)
 > #ik krijg er niets uit wat ergens op lijkt
 > #c.
 >
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 (15)
 >
 (16)
 >
 (17)
 >
 >
 >
 (18)
 >
 (19)
 >

Thank you very much. The first answer "a" was right, but for the other ones, this method they gave does not work.

Greetings,

The Function