Orthogonal system of vectors:
In orthogonal system of vectors we choose these vectors as 3 mutually perpendicular unit vectors denoted by directed along positive directions of X, Y and Z axes respectively.
Corresponding to any point P(x, y z) we can associate a vector with respect to. a fixed orthogonal system and then this vector is position vector (p.v.) of that point. That is p.v. of
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Distance of P from
x, y, z are called as components of the vector
If the vector makes angles a, b, g with the positive directions of X, Y and Z axes respectively, then cosa, cosb, cosg are called the direction cosines (d.c.'s) of .
So that
Unit vector in direction of is
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