Example 0.1.Vector equation of a line

normal vector n = ai+ bj+ ck. For instance by reading o the coe cients x;y;z in the linear equation 3x 4y + 10z 8 = 0, we obtain the normal vector n = 3i 4j+ 10k Of course a non-zero scalar multiple of a normal vector n is still perpendicular to the plane. Three non collinear points P 1;P 2;P 3 also determine a plane S. To obtain an equation of the ................
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