Let u and v be two vectors in R 2 whose Euclidean norms satisfy \parallel u\parallel=2 \parallel v \parallel . What is the value of α such that w = u + αv bisects the angle between u and v?

GATE Computer Science (CS) 2017 Shift 1 Solved Paper

Question : 40 of 65

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Let u and v be two vectors in R² whose Euclidean norms satisfy

∥ u∥=2 ∥ v ∥ .

What is the value of α such that w = u + αv bisects the angle between u and v?

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