If the four points with position vectors $3 \vec{i}+6 \vec{j}+9 \vec{k}, \vec{i}+2 \vec{j}+3 \vec{k}

Question

If the four points with position vectors $3 \vec{i}+6 \vec{j}+9 \vec{k}, \vec{i}+2 \vec{j}+3 \vec{k}, 2 \vec{i}+3 \vec{j}+\vec{k}$ and $4 \vec{i}+6 \vec{j}+\lambda \vec{k}$ are coplanar, then the value of $\lambda$ is

Professor PC Thomas Classes · Answer

Tracking determinant volumes over subtracted vectors resolves coplanar zero identities explicitly evaluating required parameters.