Let v = (1,-3) and w = (-2,6). which of the following is true? check all that apply. a. the x-component of v is -2. b. the y-component of w is 6. c. v+w = 36 d. w = -2v

 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).

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step-by-step explanation:

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