## Question

###### Let v, W1; and W2 be vectors in Rn_ Show that if U is orthogonal to both of W1 and w2 then U is orthogonal to every vector in span{W1, W2}. [20]Let u, â‚¬, be non-zero vectors in R3 Show that the vector w = Ilvll u + Ilull v bisects the (non-reflex) angle between u and U. [20]

Let v, W1; and W2 be vectors in Rn_ Show that if U is orthogonal to both of W1 and w2 then U is orthogonal to every vector in span{W1, W2}. [20] Let u, â‚¬, be non-zero vectors in R3 Show that the vector w = Ilvll u + Ilull v bisects the (non-reflex) angle between u and U. [20]

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