Let v = (-2,6) and w = (12,4). which of the following is true? a. v and w are perpendicular. b. the x-component of v is 6. c. vxw= 48 d. w = -4(-3,-1)

 The correct option are

(A) v and w are perpendicular.

(D) w = -4(-3,-1).

Step-by-step explanation: We are given two vectors 'v' and 'w' as follows:

We are to select the correct statement about these two vectors.

We know that two vectors are perpendicular to each other if their dot product is zero.

We have

So, the two vectors are perpendicular.

Option (A) is correct.

Since the x-component of 'v' is -2, so option (B) is incorrect.

Since the product f 'v' and 'w' is 0, so it cannot equal to 48. Option (C) is also incorrect.

Now,

So, option (D) is also correct.

Thus, the correct options are (A) and (D).

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step-by-step explanation: