Equations of Lines in 3D

April 30, 2008

Let l be the line represented by the symmetric equations

\displaystyle\frac{x-2}{4} = \frac{y+3}{-2}=\frac{z-1}{7}

1. Find the point of intersection of l and the plane 5x-y+2z=12.

2. Find the distance between P(0,1,0) and l.

3. The acute angle between l and the line m: \hspace{.3in} x=1+t; \hspace{.2in} y=3-2t; \hspace{.2in} z=4t.

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Posted by ldvallejo

Tangent Circles

February 23, 2008

Circle A of radius 2 is externally tangent to circle B of radius 3. Both circles are internally tangent to circle C of radius 5. Find the length of the chord that lies on the common internal tangent line of circle A and circle B.

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Posted by Tina