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Question

\(\text{If } \hat{i}, \hat{j}, \hat{k} \text{ are unit vectors along the positive direction of the X-, Y-, and Z-axes, then a FALSE statement in the following is} \)

$\Sigma \, \mathbf{i} \cdot (\mathbf{j} \times \mathbf{k}) = 0$

$\Sigma \, (\mathbf{j} + \mathbf{k}) = \vec{0}$

$\Sigma \, \mathbf{i} \cdot (\mathbf{j} + \mathbf{k}) = \vec{0}$

$\Sigma \, \mathbf{i} \cdot (\mathbf{j} \times \mathbf{k}) = \vec{0}$

Solution

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