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Consider the vector v between (-4,-4,-4) and (6,7,1). What vector has the same...

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Consider the vector v between (-4,-4,-4) and (6,7,1).

What vector has the same direction as vector v, but is twice as long?

 

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The vector being described here is <10,11,5>

6-(-4)=10, 7-(-4)=11, 1-(-4)=5

To get a vector in the same direction that is exactly twice as long, multiply each entry by 2.  (Note: to get any vector in the same direction, multiply each entry by the same positive number.)

Here, the vector we want is:

<20,22,10>

because

10*2=20, 11*2=22, 5*2=10

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