document.write( "Question 832848: In a three dimensional x, y, z coordinate system, how many lines through the origin make angles of 60 degrees with both the y and z axes? Also, what angles do they make with the positive x-axis? (My solution manual says that there are only two such lines. I conclude that there are four. Also, it says that the remaining angles with the positive x-axis are 45 and 135 degrees. I cannot see this in three space. Please explain. Thanks.)
\n" ); document.write( "Merc Boyd \n" ); document.write( "
Algebra.Com's Answer #502216 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "I'd like to know what you have so far. \r\n" );
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document.write( "Describe the four lines you and angles you found. Then we can discuss whether your lines are valid or\r\n" );
document.write( "perhaps the solution manual is in error (it happens!)\r\n" );
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document.write( "You can post here. If your work is on paper, you may take picture and email it to me at the address \r\n" );
document.write( "below.\r\n" );
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document.write( "Good luck,\r\n" );
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document.write( "Mrs. F.\r\n" );
document.write( "math.in.the.vortex@gmail.com
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