Let ✓ be a nonzero vector in Rn and let V = Span{v}. Show that V has dimension n − 1. HINT: note that V¹ = { € R^|✔ · × = 0}. What sort of equation is ✔ · x = √²x = 0? Let {V1, V2, Vp} be an orthogonal set in R" and let a₁, a2,, ap are scalars, show that P ||Σa vi||² = |a|²||vi||2². αΐ i=1 i=1

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