Prove that the four points and are coplanar.

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Prove that the four points 4i^+5j^+k^,−(j^+k^),(3i^+9j^+4k^)4\hat{i} + 5\hat{j} + \hat{k}, -(\hat{j} + \hat{k}), (3\hat{i} + 9\hat{j} + 4\hat{k}) and 4(−i^+j^+k^)4(-\hat{i} + \hat{j} + \hat{k}) are coplanar.

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