vectors-m

Related Questions

• If the force $\overrightarrow{F}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ moves from $\mathbf{i}+\mathbf{j}-\mathbf{k}$ to $2\mathbf{i}-\mathbf{j}+\mathbf{k},$ then work done will be represented by

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• The sine of the angle between the two vectors $3\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and $12\mathbf{i}+5\mathbf{j}-5\mathbf{k}$ will be

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• If $\mathbf{a}, \mathbf{b}, \mathbf{c}$, are three non-coplanar vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\alpha \,\mathbf{d}$ and $\mathbf{b}+\mathbf{c}+\mathbf{d}=\beta \,\mathbf{a},$ then $\mathbf{a}+\mathbf{b}+\mathbf{c}+\mathbf{d}$ is equal to

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• If a and b are adjacent sides of a rhombus, then

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• The position vectors of four points P, Q, R, S are $2\mathbf{a}+4\mathbf{c},\,$ $5\mathbf{a}+3\sqrt{3}\,\mathbf{b}+4\mathbf{c},$ $-2\sqrt{3}\mathbf{b}+\mathbf{c}$ and $2\mathbf{a}+\mathbf{c}$ respectively, then

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