then

Engineering

Mathematics

Introduction to Determinants

Question

$|\begin{array}{ccc} 1 & \cos α & \cos β \\ \cos α & 1 & \cos γ \\ \cos β & \cos γ & 1 \end{array}| = |\begin{array}{ccc} 0 & \cos α & \cos β \\ \cos α & 0 & \cos γ \\ \cos β & \cos γ & 0 \end{array}|$ then

cosα + cosβ + cosγ = 0

cosα.cosβ.cosγ = 0

cos²α + cos²β +cos²γ = 1

∑ cosα, cosβ = 0

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