SOLUTION: Find the magnitude of the vector 〈1, −4, 2〉. What is the unit vector?

Algebra ->  Vectors -> SOLUTION: Find the magnitude of the vector 〈1, −4, 2〉. What is the unit vector?      Log On


   



Question 1136323: Find the magnitude of the vector 〈1, −4, 2〉. What is the unit vector?
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the magnitude of the vector 〈1,−4,2).
Mag = sqrt%281%5E1+%2B+4%5E2+%2B+2%5E2%29+=+sqrt%2821%29
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What is the unit vector?
It'a a vector of length 1.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The magnitude is

sqrt%281%5E2%2B4%5E2%2B2%5E2%29+=+sqrt%2821%29

If you mean the unit vector IN THAT DIRECTION, it is

(1/sqrt(21), -4/sqrt(21), 2/sqrt(21))