The position vectors of the points

Question:

The position vectors of the points $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are $(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}}),(3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}})$ and $(\hat{\mathrm{i}}+4 \hat{\mathrm{j}}-3 \hat{\mathrm{k}})$ respectively. Show that the points A, B and C are collinear.

Solution:

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