Direction Cosines of a Vector Formula – Scalars and Vectors

Direction Cosines of a Vector Formula – Scalars and Vectors

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Direction Cosines of a Vector:
If any vector A subtend angles α, β and γ with X-axis, Y-axis and Z-axis respectively and its components along these axes are A_x, A_y and A_z, then

cos α = \(\frac{A_{x}}{A}\)
cos β = \(\frac{A_{y}}{A}\)
cos γ = \(\frac{A_{z}}{A}\)
Then, cos² α + cos² β + cos² γ = 1

Scalars and Vectors Topics: