We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477
4, 8, 12, 16 because they are all multiples of 4 and 2
Answer:
-3/5x
Step-by-step explanation:
It is a negative slope and use rise over run
Answer:
True
Step-by-step explanation:
because the standard deviation describes how far, on average, each observation is from the typical value. a bigger variance means observations are more distant from the typical value, and therefore, more dispersed
Add all the numbers which gives you
102
102 divided by 4 is 25.5
Mean=25.5
Median is 26.5