Calc 3 prob: If u̅ · v̅ = u̅ · w̅ and u̅ cannot equal zero, then v̅ = w̅

[kmathman]

Calc 3 prob: If u̅ · v̅ = u̅ · w̅ and u̅ cannot equal zero, then v̅ = w̅

If u̅ · v̅ = u̅ · w̅ and u̅ cannot equal zero, then v̅ = w̅
is this true or false and please explain why!?

 

[stapel]

If u̅ · v̅ = u̅ · w̅ and u̅ cannot equal zero, then v̅ = w̅
is this true or false and please explain why!?

What are your thoughts? (In particular, what are your thoughts regarding vectors whose components are largely, though not all, zeroes?) What have you tried? How far have you gotten? Where are you stuck?

Please be complete. Thank you!