Find the vector v with the given magnitude and the same direction as u.
||v|| = 3
u = <4, -4>
I have been going through many sheets of paper attempting to solve this problem! Unfortunately, as one could tell by my sojourn at Yahoo Answers, I have not solved this problem yet. If any of you would be as kind enough to show work so I can understand these type of problems in the near future, I would greatly appreciate it! Again, thank you all for taking your time to even attempt such a tedious math problem!
||v|| = 3
u = <4, -4>
I have been going through many sheets of paper attempting to solve this problem! Unfortunately, as one could tell by my sojourn at Yahoo Answers, I have not solved this problem yet. If any of you would be as kind enough to show work so I can understand these type of problems in the near future, I would greatly appreciate it! Again, thank you all for taking your time to even attempt such a tedious math problem!
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||u|| = √(4²+(−4)²) = √32 = 4√2
So vector u/||u|| = < 1/√2, −1/√2 > is unit vector (magnitude 1) in same direction as u
v = 3 < 1/√2, -1/√2 > = < 3/√2, −3/√2 >
So vector u/||u|| = < 1/√2, −1/√2 > is unit vector (magnitude 1) in same direction as u
v = 3 < 1/√2, -1/√2 > = < 3/√2, −3/√2 >