If i^×[(a−j^)×i^]+j^×[(a−k^)×j^]+k^×[(a−i^)×k^]=0, then find vector a˙

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If {{i}}{[{({{a}}-{{j}})}{{i}}]}+{{j}}{[{({{a}}-{{k}})}{{j}}]}

Question

If $\hat{i} \times [(a - \hat{j}) \times \hat{i}] + \hat{j} \times [(a - \hat{k}) \times \hat{j}] + \hat{k} \times [(a - \hat{i}) \times \hat{k}] = 0,$ then find vector $a ˙$

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Amelia Discussed

\hat{i} \times [(a - \hat{j}) \times \hat{i}] + \hat{j} \times [(a - \hat{k}) \times \hat{j}] + \hat{k} \times [(a - \hat{i}) \times \hat{k}] = 0,

then find vector

a ˙

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Question Text

\hat{i} \times [(a - \hat{j}) \times \hat{i}] + \hat{j} \times [(a - \hat{k}) \times \hat{j}] + \hat{k} \times [(a - \hat{i}) \times \hat{k}] = 0,

then find vector

a ˙