Find the vector equation of the plane passing through the point

Question:

Find the vector equation of the plane passing through the point $(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+2 \hat{\mathrm{k}})$ and parallel to the vectors $(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$ and $(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}})$.

Solution:

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