Show that the vectors and form the vertices of a right angled triangle.

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

17. Show that the vectors 2i^−j^+k^,i^−3j^−5k^2 \hat{i}-\hat{j}+\hat{k}, \hat{i}-3 \hat{j}-5 \hat{k} and 3i^−4j^−4k^3 \hat{i}-4 \hat{j}-4 \hat{k} form the vertices of a right angled triangle.

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