vectors-m

Related Questions

• The position vector of a point C with respect to B is $\mathbf{i}+\mathbf{j}$ and that of B with respect to A is $\mathbf{i}-\mathbf{j}.$ The position vector of C with respect to A is

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• Given $\mathbf{a}=\mathbf{i}+\mathbf{j}-\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\mathbf{j}+\mathbf{k}$ and $\mathbf{c}=-\mathbf{i}+2\mathbf{j}-\mathbf{k}.$ A unit vector perpendicular to both $\mathbf{a}+\mathbf{b}$ and $\mathbf{b}+\mathbf{c}$ is

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• If $\mathbf{p}=7\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $\mathbf{q}=3\mathbf{i}+\mathbf{j}+5\mathbf{k},$ then the magnitude of $\mathbf{p}-2\mathbf{q}$ is

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• If $\mathbf{a}=2\mathbf{i}-3\,\mathbf{j}-\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+4\mathbf{j}-2\mathbf{k}$, then $\mathbf{a}\times \mathbf{b}$ is

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• If a and b are two unit vectors such that $\mathbf{a}+2\,\mathbf{b}$ and $5a-4b$ are perpendicular to each other, then the angle between a and b is

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