Determine whether the statement is true or false. if it is true, explain why. if it is false, explain why or give an example that disaproves the statement.
if u. v=0, then u=0 or v=0

See explanation below.

Step-by-step explanation:

False.

Counter example

Let's assume that we have two vectors u,v on a bidimensional space. Lets define u and v like this:

We see on this case that . And for this case we have this:

We satisfy that the dot product is 0 but

So then since not applies for this particular this statement is FALSE.

step-by-step explanation: