If `veca=-hati+hatj+hatk andvecb=2hati+0hatj+hatk` then find vector `vecc` satisfying the following conditions, (i) that it is coplaner with `veca and vecb` , (ii) that it is `bot "to" vecb` and (iii) that `veca.vecc=7`.

Explanation

To solve the problem step by step, we will find the vector \( \vec{c} \) that satisfies the given conditions.

### Step 1: Define the vectors
Given:
\[ \vec{a} = -\hat{i} + \hat{j} + \hat{k} \]
\[
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