vectors-m

Related Questions

• The point having position vectors $2\mathbf{i}+3\mathbf{j}+4\mathbf{k},\,\,$ $3\mathbf{i}+4\mathbf{j}+2\mathbf{k},$ $4\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ are the vertices of

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• If three points A, B, C are collinear, whose position vectors are $\mathbf{i}-2\mathbf{j}-8\mathbf{k},\,\,5\mathbf{i}-2\mathbf{k}$ and $11\,\mathbf{i}+\,3\,\mathbf{j}+7\mathbf{k}$ respectively, then the ratio in which B divides AC is

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• If $|\mathbf{a}|\,\,=3,\,\,\,|\mathbf{b}|\,\,=4$ and $|\mathbf{a}+\mathbf{b}|\,\,=5,$ then $|\mathbf{a}-\mathbf{b}|\,\,=$

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• Let A and B be points with position vectors a and b with respect to the origin O. If the point C on OA is such that $2AC=CO,\,\,CD$ is parallel to OB and $|\overrightarrow{CD}|\,\,=\,\,3|\overrightarrow{OB}|,$ then $\overrightarrow{AD}$ is equal to

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• The direction cosines of the vector $3\mathbf{i}-4\mathbf{j}+5\mathbf{k}$ are

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