formula of three vector in same plane
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Find ''a'' for which all three vectors (1,2,3),(1,2+a,6) and (1,10,a−1) are parallel to the same plane.
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Any nonzero vector can be divided by its length to form a unit vector. Thus for a plane (or a line), a normal vector can be divided by its length to get a unit normal vector. Example: For the equation, x + 2y + 2z = 9, the vector A = (1, 2, 2) is a normal vector. |A| = square root of (1+4+4) = 3.
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