# SOLUTION: Find the magnitude and direction (in degrees) of the vector. v = 3i +&#8730;7j

Algebra ->  Algebra  -> Vectors -> SOLUTION: Find the magnitude and direction (in degrees) of the vector. v = 3i +&#8730;7j      Log On

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 Algebra: Introduction to vectors, addition and scaling Solvers Lessons Answers archive Quiz In Depth

 Question 539229: Find the magnitude and direction (in degrees) of the vector. v = 3i +√7jAnswer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website!If v = ai+bj, then ||v|| = sqrt(a^2+b^2) In this case, a = 3 and b = sqrt(7) ||v|| = sqrt(a^2+b^2) ||v|| = sqrt(3^2+(sqrt(7))^2) ||v|| = sqrt(9+7) ||v|| = sqrt(16) ||v|| = 4 So the magnitude of v is 4 To find the direction or angle, we use the idea that theta = arctan(b/a) theta = arctan(b/a) theta = arctan(sqrt(7)/3) theta = 41.409622 (note: this is approximate) So the direction is roughly 41.409622 degrees.