2 3 1 000 1 2 -5 concepts in Chapter 6 such as inner products. Let...

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2 3 1 000 1 2 -5 concepts in Chapter 6 such as inner products. Let V₁ = and y= Solve the following problems using (a) Find a unit vector in the same direction as v₁. (b) Find projviy, the orthogonal projection of y onto v₁. Also, find the distance between y and projviy. (c) Show that (v₁, v2} is an orthogonal set but (V1, V2, V3} is not an orthogonal set. (d) Let H=Span{v₁, V2}. Find the vector in H that is closest to y. (e) Let W= Span{V1, V2, V3}. Find the vectory in W that is closest to y. It is sufficient to give the normal equation corresponding to this problem without solving it. 2 3 1 000 1 2 -5 concepts in Chapter 6 such as inner products. Let V₁ = and y= Solve the following problems using (a) Find a unit vector in the same direction as v₁. (b) Find projviy, the orthogonal projection of y onto v₁. Also, find the distance between y and projviy. (c) Show that (v₁, v2} is an orthogonal set but (V1, V2, V3} is not an orthogonal set. (d) Let H=Span{v₁, V2}. Find the vector in H that is closest to y. (e) Let W= Span{V1, V2, V3}. Find the vectory in W that is closest to y. It is sufficient to give the normal equation corresponding to this problem without solving it.