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Properties of Determinants

Write the val...

Question

Write the value $(\hat{i} \times \hat{j}) \cdot \hat{k} + \hat{i} \cdot \hat{j} .$

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Solution

$(\hat{i} \times \hat{j}) . \hat{k} + \hat{i} . \hat{j} = \hat{k} . \hat{k} + 0 = {|\hat{k}|}^{2} + 0 = 1^{2} + 0 (∵ |k| = 1) = 1$

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Standard XII Mathematics