The relationship between the both component would be v = 2u. So, the option A. The vectors point in the same direction is correct.
How to find the vector component?
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Consider u = (5,-2) and v= (10,-4).
Now, multiply each component by 2
2u = 2 (5, - 2 )
= (10, - 4) = v ,
then
v = 2u
Hence, the relationship between the both component would be v = 2u.
So, the option A. The vectors point in the same direction is correct.
The complete question is
"Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?.
A. The vectors point in the same direction.
B. The vectors form an acute angle.
C. The vectors form an obtuse angle.
D. The vectors point in opposite directions."
Learn more about vectors;
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