Magnitude of a Vector

Question

Find magnitude of vectors

v1= -3i + 7j

v2= 4u Where u= ||1/2, √3,2 ||

Answer 1

Marlenny:

For any vector v = a*i + b*j magnitude(v) = √(a²+b²)

v1 = -3i + 7j use a=-3 b=7 to get magnitude(v1)=√(-3)²+(7)²

v2= 4u = <4*(1/2), 4*√3,4*2> = <2, 4*√3, 8> = 2*i + 4*√3*j + 8*k

For any vector u = a*i +b*j + c*k magnitude(u) = √(a²+b²+c²)

Try to answer part 2 with this hint