Potentially an easy Calculus proble

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    Calculus
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Homework Help Overview

The discussion revolves around a calculus problem involving a point in three-dimensional space and the equation of a sphere. Participants are tasked with finding the parametric equations for a line extending from a given point to the center of the sphere.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to create a vector from the given point to the center of the sphere and formulates a parametric equation. Some participants question the correctness of the vector used in the equation.

Discussion Status

Participants are engaged in clarifying the process of forming the parametric equation. There is acknowledgment of a potential error in the vector multiplication, but no consensus has been reached on the final formulation.

Contextual Notes

There is a mention of a possible mistake in the transcription of the vector, which may affect the parametric equation. The discussion is ongoing, with participants exploring the implications of this error.

chaotixmonjuish
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1.) A point (1,2,3) and the equation (x-2)^2+(y-5)^2+(z-5)^2=56, find the line (in parametric equations) from that point to the center of the sphere.

2.) Here is everything I have done

I first made a vector from 1,2,3 to 2,5,5.

<1,3,2>

and then a parametric equation

r(t)=<1,2,3>+t<2,5,5>

was this the right process
 
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Hi chaotixmonjuish! :smile:
chaotixmonjuish said:
r(t)=<1,2,3>+t<2,5,5>

was this the right process

he he :smile:

that's exactly the right process :approve:

but :rolleyes: … you copied wrong on the last line! :wink:
 
In other words, you have t multiplying the wrong vector.
 
Ah yes, sorry about not responding right away. I got what he meant.
 

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