SOLUTION: Evaluate this expression, If u = <&#8722;3, 7> and v = <5,1>. || v - u || || v - u||->||<a,b>||->&#8730;aČ+bČ A.) <8, -7> B.) <8, 7> C.) 10 D.) -10 Thank you.

Algebra ->  Test -> SOLUTION: Evaluate this expression, If u = <&#8722;3, 7> and v = <5,1>. || v - u || || v - u||->||<a,b>||->&#8730;aČ+bČ A.) <8, -7> B.) <8, 7> C.) 10 D.) -10 Thank you.      Log On


   



Question 1070004: Evaluate this expression,
If u = <−3, 7> and v = <5,1>.
|| v - u ||
|| v - u||->||||->√aČ+bČ
A.) <8, -7>
B.) <8, 7>
C.) 10
D.) -10
Thank you.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can do this one without calculations.
A magnitude is a scalar so only number answers are possible choices.
A magnitude is also always non-negative.
So the only possible answer is 10.
So much for multiple choice mathematics.
.
.
.
v-u=(5-%28-3%29,1-7)=(8,-6)
So then
abs%28v-u%29=sqrt%288%5E2%2B%28-6%29%5E2%29=sqrt%2864%2B36%29=sqrt%28100%29=10