document.write( "Question 1170574: Find the vector and parametric equations for the line through the P(4,-1,-3) and orthogonal to the plane 4x+3y-3z=1. \n" ); document.write( "

Algebra.Com's Answer #795496 by ikleyn(52810) $\"\"$ $\"About$

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document.write( "The vector ORTHOGONAL to the plane 4x + 3y - 3z = 1  is the vector  U = (4,3,-3).\r\n" );
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document.write( "The vector equation the problem asks for is  V(t) = P + U*t,  where  P is the given point  (4,-1,-3) and \"t\" is the parameter.\r\n" );
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document.write( "The parametric equation consists of the THREE SCALAR equations\r\n" );
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document.write( "    x(t) =  4 + 4t,\r\n" );
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document.write( "    y(t) = -1 + 3t,\r\n" );
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document.write( "    z(t) = -3 - 3t.\r\n" );
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