Let
, where
and let
be any real constant.
Given this definition of scalar multiplication, we can see right away that there is no identity element
such that
because
Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector 
is a linear combination of 
and 
if there are two scalars 
such as
In our case, all the vectors are given in 
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of 
and 
, so the solution is
All in all you would get the answer x+y=1.
There would be 3 triangles formed.
Each interior angle of a triangle will sum up to 180 degrees.
The 1st triangle will have 130,25, and 25 as its angle measures.
The angle 130 degrees will be divided into 2 to create 2 right triangle. Each triangle will have angle measurements of 25, 65, and 90 degrees.
Put 65 over 100 so it's a fraction and simplify from there i think
