SOLUTION: Find a vector that has the same direction as 3i - 7j and twice the magnitude.

Algebra ->  Trigonometry-basics -> SOLUTION: Find a vector that has the same direction as 3i - 7j and twice the magnitude.      Log On


   



Question 70748: Find a vector that has the same direction as 3i - 7j and twice the magnitude.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find a vector that has the same direction as 3i - 7j and twice the magnitude.
The direction is tan^-1(-7/3) in the 4th quadrant.
It is -66.8 degrees or +293.199 degrees
---------
The magnitude of the given number is sqrt(7^2+3^2)=sqrt58 =7.616
Twice that magnitude = 15.23
----------------
The vector is 15.23(cos293.199 + isin293.199)
or
6 - 14i
------------------
Cheers,
Stan H.