SOLUTION: If // v // = 2, what is //-4v//?

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Question 161537: If // v // = 2, what is //-4v//?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let . Since ||v||=2, this means that


Now let's compute :


Start with the given vector


Multiply both sides by -4


Distribute


So this means:

||-4v||==4||v||


So this shows us that the length of ||-4v|| is simply 4 times that of ||v||. So the length of ||-4v|| is 8 units


In other words, ||-4v||=8


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