<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
In this problem we have two vectors:

So we need to find two things:

and:

FIRST:
In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

SECOND:
If we name:

Then,  is the magnitude of the vector
 is the magnitude of the vector  . Therefore:
. Therefore:

 
        
        
        
Answer:
52
Step-by-step explanation:
sorry if it's wrong
 
        
             
        
        
        
Answer:
x=0, yes.
Step-by-step explanation:
3x+8=5x+8
5x-3x+8=8
2x+8=8
2x=8-8
2x=0
x=0/2
x=0
 
        
                    
             
        
        
        
Answer:
The position P is:
 ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>
 ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity  is:
 is:

Where  is the initial height = 0 for this case
 is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
 ft/sec
 ft/sec
 ft/sec
 ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
 for this case
 for this case
 ft / sec
 ft / sec
 ft/sec
 ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
 ft
 ft
 
        
             
        
        
        
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2