Recent content by B.Cantarelli

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    Analytic Geometry / Vectors - Find point with min distance to plane

    Thank you very much for the response. The trouble I was having was exactly with the "Knowing the distance, you can quickly find the point on the plane that is that distance away from the point (1, 1, 1)" part. Particularly with the "quickly". I got the ray 1/sqrt(14) by doing exactly what you...
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    Analytic Geometry / Vectors - Find point with min distance to plane

    Question: Find the point in the plane x+2y-3z=1 with minimum distance to point (1,1,1). Attempt at resolution: Well, techinically, I already have the means to solve this. I can find the distance between the point and the plane to be 1/sqrt(14) and then I can either solve for the sphere...
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    Analytic Geometry / Vectors - Finding an Angle Bissector

    Oh, of course. Thank you very much Dick.
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    Analytic Geometry / Vectors - Finding an Angle Bissector

    Question: What are the vector, parametric and symmetric equations of the angle bissector of angle ∠ABC, given that A=(1,2,3), B=(3,4,5) and C=(6,7,0). Attempt at resolution: Well, I defined some D=(d_1,d_2,d_3) to be a point in the angle bissector, and two lines r:X=(3+2a,4+2a,5+2a) and...
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