If the four points, whose position vectors are \(3 \hat{i}-4 \hat{j}+2 \hat{k}, \hat{i}+2 \hat{j}-\hat{k}, -2 \hat{i}-\h…

If the four points, whose position vectors are \(3 \hat{i}-4 \hat{j}+2 \hat{k}, \hat{i}+2 \hat{j}-\hat{k}, -2 \hat{i}-\hat{j}+3 \hat{k}\) and \(5 \hat{i}-2 \alpha \hat{j}+4 \hat{k}\) are coplanar, then \(\alpha\) is equal to

[JEE Main 2023, 25 Jan (Shift 2)]