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Statement I (Assertion) and Statement II (Reason) Each of these questions also has four alternatives choices, only one of which is the correct answer. You
\( \mathrm{P} \) have to select the correct choice, as given below.
(a) Statement 1 is true, Statement II is true and Statement II is a correct explanation for Statement I.
(b) Statement \( I \) is true, Statement \( \amalg \) is true but Statement II is not a correct explanation for Statement I.
(c) Statement I is true, Statement II is false.
(d) Statement \( I \) is false, Statement II is true.
Consider the vector \( \mathbf{a}, \mathbf{b} \) and \( \mathbf{c} \).
Statement I \( \mathbf{a} \times \mathbf{b}=(\hat{\mathbf{i}} \times \mathbf{b}) .(\mathbf{b}) \hat{\mathbf{i}} \)
\( +(\hat{\mathbf{j}} \times \mathbf{a}) \cdot(\mathbf{b} \hat{\mathbf{j}} \times(\hat{\mathbf{k}} \times \mathbf{a}) \cdot \mathbf{b}) \hat{\mathbf{k}} \)
Statement II c \( =(\hat{\mathbf{i}} \cdot \mathbf{c}) \hat{\mathbf{i}}+(\hat{\mathbf{j}} \cdot \mathbf{c}) \hat{\mathbf{j}}+(\hat{\mathbf{k}} \cdot \mathbf{c}) \hat{\mathbf{k}} \)
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