vectors-m

Related Questions

• If $\mathbf{a}\,.\,\mathbf{b}=\mathbf{a}\,.\,\mathbf{c},\,\,\mathbf{a}\,\times \mathbf{b}=\mathbf{a}\times \mathbf{c}$ and $\mathbf{a}\ne \mathbf{0},$ then

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

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• Three points whose position vectors are $\mathbf{a}+\mathbf{b},\,\,\mathbf{a}-\mathbf{b}$ and $\mathbf{a}+k\mathbf{b}$ will be collinear, if the value of k is

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• The unit vector perpendicular to both $\mathbf{i}+\mathbf{j}$ and $\mathbf{j}+\mathbf{k}$ is

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