Answer: The correct options are
(B). The y-component of w is 6.
(D). w = -2v.
Step-by-step explanation: Given that

We are to select all the correct statements from the given options.
The first component in an ordered pair is called the x-component and the second component is called the y-component.
Option (A) is
"The x-component of v is -2".
This statement is incorrect because the first component (x-component) of 'v' is 1.
Option (B) is
"The y-component of w is 6."
This statement is correct, because the second component (y-component) of 'w' is 6.
Option (C) is
"v+w = 36".
Since the sum of two ordered pairs is again an ordered pair, so this option is not correct.
In fact,

Option (D) is
"w = -2v".
We have

So, this option is correct.
Thus, the correct options are (B) and (D).