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

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Show that the vectors {2}{{i}}-{{j}}+{{k}},{{i}}-{3}{{j}}-{5}{

Question

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

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Show that the vectors

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k}

and

3 \hat{i} - 4 \hat{j} - 4 \hat{k}

form the vertices of a right angled triangle.

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Question Text

Show that the vectors

2 \hat{i} - \hat{j} + \hat{k}, \hat{i} - 3 \hat{j} - 5 \hat{k}

and

3 \hat{i} - 4 \hat{j} - 4 \hat{k}

form the vertices of a right angled triangle.