Let θ be the angle between two unit vectors ā and b̄. If ā + 2b̄ is perpendicular to 5ā – 4b̄, then what is cosθ + cos2θ equal to? - NDA Mathematics 2024 (II)

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Let θ be the angle between two unit vectors ā and b̄. If ā + 2b̄ is perpendicular to 5ā – 4b̄, then what is cosθ + cos2θ equal to?