Solve this following

Question:

Find the value of $\lambda$ for which the four points with position vectors  $(-\hat{\mathrm{j}}+\hat{\mathrm{k}})$ $(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}-\hat{\mathrm{k}}),(\hat{\mathrm{i}}+\lambda \hat{\mathrm{j}}+\hat{\mathrm{k}})$ and $(3 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$ are coplanar.

Solution:

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