Question
'The value of $\hat{i} \times(\hat{i} \times \vec{a})|\hat{j} \times(\hat{j} \times \vec{a})| \hat{k} \times(\hat{k} \times \vec{a})$ is(a) $\vec{a}$(b) $\vec{a} \times \hat{k}$(c) $-2 \vec{a}$(d) $-\vec{a}$
Step 1
Similarly, $\hat{j} \times(\hat{j} \times \vec{a})$ and $\hat{k} \times(\hat{k} \times \vec{a})$ can be written as $\vec{a} \cdot \hat{j}\hat{j} - \vec{a}$ and $\vec{a} \cdot \hat{k}\hat{k} - \vec{a}$ respectively. Show more…
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The value of $\hat{1} \times(\hat{\mathbf{1}} \times \overrightarrow{\mathbf{a}})+\hat{\mathrm{j}} \times(\hat{\mathbf{j}} \times \mathbf{a})+\hat{\mathbf{k}} \times(\hat{\mathbf{k}} \times \dot{\mathbf{a}})$ is : (a) $\overrightarrow{\mathbf{a}}$ (b) $\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}}$ (c) $-2 \vec{a}$ (d) $-\vec{a}$
a. What is $\hat{\imath} \times(\hat{i} \times \hat{\jmath}) ?$ b. What is $(\hat{i} \times \hat{j}) \times \hat{k} ?$
If $\mathrm{A}=2 \mathrm{i}-\mathrm{i}-\mathrm{k}, \mathrm{B}=2 \mathrm{i}-3 \mathrm{j}+\mathrm{k}, \mathrm{C}=\mathrm{j}+\mathrm{k}$, find $(\mathrm{A} \cdot \mathrm{B}) \mathrm{C}, \mathrm{A}(\mathrm{B} \cdot \mathrm{C}),(\mathrm{A} \times \mathrm{B}) \cdot \mathrm{C}$ $A \cdot(B \times C),(A \times B) \times C, A \times(B \times C)$
VECTOR ANALYSIS
Triple products
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