If a = 2 i + j + 3 k and b = 3 i + 5 j - 2 k , then find | a | b|… - Vidyadip

Question

If $\overrightarrow{\text{a}} = 2\hat{\text{i}} + \hat{\text{j}} + 3\hat{\text{k}}$ and $ \overrightarrow{\text{b}} = 3\hat{\text{i}}+ 5\hat{\text{j}} - 2\hat{\text{k}},$ then find $|\overrightarrow{\text{a}}\times|\overrightarrow{\text{b}|}.$

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Answer

$\overrightarrow{\text{a}}\times\overrightarrow{\text{b}}= -17\hat{\text{i}} + 13\hat{\text{j}} + 7\hat{\text{k}}, \overrightarrow{|\text{a}}\times\overrightarrow{\text{b}|} = \sqrt{507}$

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