Find the value of a for which the vectors $3\hat{i} + 2\hat{j} + 9\hat{k}$ and $\hat{i} + \hat{aj} + 3\hat{k}$ are perpendicular

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written 3.4 years ago by

DevarenjiniP • 3.2k

• modified 3.4 years ago

Let $\overrightarrow a$ = 3 $\hat i$ +2 $\hat j$ +9 $\hat k$ and $\overrightarrow b$ = $\hat i$ + $\hat aj$ +3 $\hat k$ .

For two vectors to be perpendicular, $\overrightarrow a$ ⊥ $\overrightarrow b$ = $\overrightarrow a$ . $\overrightarrow b$ =0

(3 $\hat i$ +2 $\hat j$ +9 $\hat k$ ). …

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