If the vectors `vecc, \ veca=xhati+yhatj+zhatk and vecb=hatj` are such that `veca,vecc and vecb` form a right handed system then `vecc` is

Options

A. (a) `zhati-xhatk`
B. (b) `vec0`
C. (c) `yhatj`
D. (d) `-zhati+xhatk`

Explanation

To find the vector \(\vec{c}\) given that the vectors \(\vec{a}\), \(\vec{c}\), and \(\vec{b}\) form a right-handed system, we can follow these steps:

### Step 1: Identify the given vectors
We have:
\[ \vec{a} = x \hat{i} + y \hat{j} + z \hat{k} \]
\[
...