find the symmetric equations of the straight line that passes through the point (1, -2, 3) and is perpendicular to the plane 2x + 3y = 0

help please.

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- Mar 6th 2007, 10:06 PMrcmangoequation symmetry
find the symmetric equations of the straight line that passes through the point (1, -2, 3) and is perpendicular to the plane 2x + 3y = 0

help please. - Mar 7th 2007, 05:15 AMSoroban
Hello, rcmango!

This is quite straight-forward.

Exactly*where*is your difficulty?

Quote:

Find the symmetric equations of the straight line that passes through the point (1,-2,3)

and is perpendicular to the plane 2x + 3y = 0

We have a point on the line: .(x1, y1, z1) .= .(1,-2,3)

Since the line is perpendicular to the plane,

. . its direction is the normal vector of the plane: .[2,3,0]

Can you write the symmetric equatons now?