Mathematics

Problem

If the vector

\vec{r}=(\lambda)\mathbf{i}+(\lambda+2)\mathbf{j}+(2\lambda)\mathbf{k}

has magnitude

6

, determine the positive value of

\lambda

. a) 1 b) 2 c)

\frac{1}{3}

\frac{-1+\sqrt{33}}{2}