vectors-m

Related Questions

• The vectors $\mathbf{i}+2\mathbf{j}+3\mathbf{k},$ $\lambda \mathbf{i}+4\mathbf{j}+7\mathbf{k},$ $-3\mathbf{i}-2\mathbf{j}-5\mathbf{k}$ are collinear, if $\lambda$ equals

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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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• The projection of the vector $2\mathbf{i}+\mathbf{j}-3\mathbf{k}$ on the vector $\mathbf{i}-2\mathbf{j}+\mathbf{k}$is_______

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• A particle acted on by constant forces $4i+j-3k$ and $3i+j-k$ is displaced from the point $i+2j+3k$ to the point $5i+4j+k$. The total work done by the force is

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• The vector a coplanar with the vectors i and j, perpendicular to the vector $\mathbf{b}=4\mathbf{i}-3\mathbf{j}+5\mathbf{k}$ such that $|\mathbf{a}|\,=\,|\,\mathbf{b}|$ is

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