Show that proj(b⃗a⃗) =[(a⃗⋅b⃗)/(b⃗⋅b⃗)](b⃗)

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1. Under what conditions does |proj of a on b| = |proj of b on a| for two non zero vectors? Show why.
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2. You will often see proj (Vector a onto Vector b) written as proj b⃗ a⃗ .Show that projb⃗ a⃗ =(a⃗ ⋅b⃗ b⃗ ⋅b⃗
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3. Under what circumstances isa. Proj(u onto v) — Proj(v onto «)? b. I Proj(u onto v) |= | Proj(v onto u) |?
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4. Under what conditions does |proj of a on b| = |proj of b on a| for two non-zero vectors?
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