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Show that the vector A = (hati) - (hat...

Show that the vector `A = (hati) - (hatj) + 2 hatk` is parallel to a vector `B = 3hat i - 3hat j + 6hat k`.

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To show that the vector \( \mathbf{A} = \hat{i} - \hat{j} + 2\hat{k} \) is parallel to the vector \( \mathbf{B} = 3\hat{i} - 3\hat{j} + 6\hat{k} \), we need to demonstrate that one vector is a scalar multiple of the other. ### Step 1: Write down the vectors We have: \[ \mathbf{A} = \hat{i} - \hat{j} + 2\hat{k} \] \[ ...
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