ganoosi

08-19-2005, 01:17 PM

Line l intersects plane C at point P and l is perpendicular to C. Thus, for any line n in C that passes through P, it must be true that ?[/img][/list]

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ganoosi

08-19-2005, 01:17 PM

Line l intersects plane C at point P and l is perpendicular to C. Thus, for any line n in C that passes through P, it must be true that ?[/img][/list]

stapel

08-19-2005, 01:21 PM

Take a sheet of paper (or cardboard). Poke a pencil (or a wire or a straw or something) through the sheet, making sure it's fairly perpendicular to the sheet. Draw a line on the sheet that crosses the pencil.

What can you say about the angle between the "lines"?

Eliz.

What can you say about the angle between the "lines"?

Eliz.

ganoosi

08-19-2005, 01:28 PM

I'm not sure I understand. Any line in C could go through P, and make numerous different angles, so is it just that whichever two angles are now formed are complimentary?

stapel

08-19-2005, 01:33 PM

Any angle? Really? You've constructed the illustration I explained, and you could form, say, a 45° angle between the pencil and the line on the sheet?

Eliz.

Eliz.

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