What is the speed of an object that travels from #( 4,-2,2) # to #( -3, 8,-7 ) # over #3 s#?
The answer would be the distance between the two points (or vectors) divided by the time. So you should get
To get the distance between the two points (or vectors), just use the distance formula
Now applying the distance formula, we get
Then all that is left is to divide by the time to get the answer.
Interesting fact: This distance formula is actually called the Euclidean Norm in the real normed space