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If veca=hati+hatj+hatk and vecb=hatj-hat...

If `veca=hati+hatj+hatk and vecb=hatj-hatk` find a vector `vecc` such that `vecaxxvecc=vecb` and `veca.vecc=3`.

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To solve the problem, we need to find a vector \(\vec{c}\) such that: 1. \(\vec{a} \times \vec{c} = \vec{b}\) 2. \(\vec{a} \cdot \vec{c} = 3\) Given: \[ \vec{a} = \hat{i} + \hat{j} + \hat{k} ...
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