Vectors Math Problem

Question

For each different vector, determine its magnitude

 

​a.​v1 = −3 i + 7 j 

​b.​v2 =  where point F = (4, −5) and point G = (−2, 3)

​c.​v3 = 4u  where u = 

Answer 1

For a vector v=A*i+B*j the magnitude |v|=√(A²+B²)

a) Here A = -3 and B = 7. use the formula above

b) vector(FG) = <-2-4, 3-(-5)> = <-6, 8> = -6*i + 8*j

Use the magnitude formula with A = -6 and B = 8