If a = i + 2 j - k , b =2 i + j + k and c = 5 i + 4 j - 3 k , the… - Vidyadip

Question

$\text{If}\overrightarrow{\text{a}} = \hat{\text{i}} + 2\hat{\text{j}} - \hat{\text{k}},$ $\overrightarrow{\text{b}} =2\hat{\text{i}} + \hat{\text{j}} + \hat{\text{k}}$ and $ \overrightarrow{\text{c}} = 5\hat{\text{i}} + 4\hat{\text{j}} - 3\hat{\text{k}},$ then find the value of $(\overrightarrow{\text{a}}+\overrightarrow{\text{b}}).\overrightarrow{\text{c.}}$

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Answer

$\overrightarrow{\text{a}}+\overrightarrow{\text{b}} = 3\hat{\text{i}} + 3\hat{\text{j}}$
$(\overrightarrow{\text{a}}+\overrightarrow{\text{b}}).\overrightarrow{\text{c}} = 3$

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