Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then

By using the property

We know that



Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,

Hence, the length of vectors u and v must have the same length.
Answer: 
Since 8 is being multiplied to the 3 power we multiply it 3 times.
is written like 

Answer:
40 mm
Step-by-step explanation:
Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:

We already know that the area is 380, so we can substitute 380 in for a.
380=
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi

120.95775675=r^2
Since r is being squared, we need to take the square root of both sides

10.9980796846=r
If we round to nearest whole number, our radius is 11 inches