Find the magnitude of the vector a =2 i +3 j -6 k . - Vidyadip

Question

Find the magnitude of the vector $\vec{\text{a}}=2\hat{\text{i}}+3\hat{\text{j}}-6\hat{\text{k}}$.

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Answer

Given: $\vec{\text{a}}=2\hat{\text{i}}+3\hat{\text{j}}-6\hat{\text{k}}$

$\therefore$ Magnitude of the vector $=\big|\vec{\text{a}}\big|=\sqrt{2^2+3^2+(-6)^2}$

$=\sqrt{4+9+36}$

$=\sqrt{49}$

$=7$

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