Given:
Two vectors are:
To find:
The projection of u onto v.
Solution:
Magnitude of a vector 
is:
Dot product of two vector 
and 
is:
Formula for projection of u onto v is:
On further simplification, we get
Therefore, the projection of u onto v is .
Answer:
3 pounds
Step-by-step explanation:
12/4=3 (because we need to see how much bryant ate first)
12-3=9 (original - what bryant ate)
9/3=3 (what was left after bryant finish and what 1/3 of 9 is)
Answer:
THE FIRST ONE 0.018 IS 18/1000
Step-by-step explanation:
Q 2 is 4 13/20
Take a clearer picture :)
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: 
which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get
