Question:
Write down the magnitude of each of the following vectors:
A. $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}$
B. $\overrightarrow{\mathrm{b}}=5 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-3 \hat{\mathrm{k}}$
C. $\overrightarrow{\mathrm{c}}=\left(\frac{1}{\sqrt{3}} \hat{\mathrm{i}}-\frac{1}{\sqrt{3}} \hat{\mathrm{j}}+\frac{1}{\sqrt{3}} \hat{\mathrm{k}}\right)$
D. $\overrightarrow{\mathrm{d}}=(\sqrt{2} \hat{\mathrm{i}}+\sqrt{3} \hat{\mathrm{j}}-\sqrt{5} \hat{\mathrm{k}})$
Solution: