On a coordinate plane, vector v has a magnitude of 6 miles per hour in a northwesterly direction. What are the magnitude and direction of 2(−v)? A 12 miles per hour in a northwesterly direction B 8 miles per hour in a southeasterly direction C 12 miles per hour in a southeasterly direction D 8 miles per hour in a northwesterly direction

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Answer:

  C 12 miles per hour in a southeasterly direction

Step-by-step explanation:

-v has a direction opposite to that of v. The opposite of northwest is southeast.

2(-v) means the magnitude of the opposite vector is multiplied by 2. 2 times 6 mph is 12 mph.

  2(-v) is 12 mph in a southeasterly direction

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