Question 539229
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.