## 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:**