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:
   -$3800
Step-by-step explanation:
Javier lost $19 on each of his 200 shares, so his total loss was ...
... 200 shares × $19/share = $3800
The portfolio lost $3800 in value on Tuesday.
 
        
             
        
        
        
Answer:
Length, l=450 yards
Width, b=225 yards
Step-by-step explanation:
Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards
X=900/2=450 yards for long side.
The short side is 0.5x hence 0.5*450=225 yards
In conclusion, the long side is 450 yards while short side is 225 yards.
 
        
             
        
        
        
Answer:
39.837168574084177751131265854635
Step-by-step explanation:
If you plug it into a calculator, you get that.
Next time, please pay attention in class and save us all a little trouble.