vectors-m

Related Questions

• If $\mathbf{a}=2\mathbf{i}+\mathbf{j}-8\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+3\mathbf{j}-4\mathbf{k},$ then the magnitude of $\mathbf{a}+\mathbf{b}=$

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• The work done in moving an object along the vector $3\mathbf{i}+2\mathbf{j}-5\mathbf{k},$ if the applied force is $\overrightarrow{F}=2\mathbf{i}-\mathbf{j}-\mathbf{k}$, is

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• A unit vector perpendicular to the vector $4\mathbf{i}-\mathbf{j}+3\mathbf{k}$ and $-2\mathbf{i}+\mathbf{j}-2\mathbf{k}$ is

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• $|\mathbf{a}\times \mathbf{i}{{|}^{2}}+|\mathbf{a}\times \mathbf{j}{{|}^{2}}+|\mathbf{a}\times \mathbf{k}{{|}^{2}}=$

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• Let $\alpha ,\,\,\beta ,\,\,\gamma $ be distinct real numbers. The points with position vectors $\alpha \mathbf{i}+\beta \mathbf{j}+\gamma \mathbf{k},\,\,\beta \mathbf{i}+\gamma \mathbf{j}+\alpha \mathbf{k},\,\,\gamma \mathbf{i}+\alpha \mathbf{j}+\beta \mathbf{k}$

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