vectors-m

Related Questions

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

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• If ${{(\mathbf{a}\times \mathbf{b})}^{2}}+{{(\mathbf{a}\,\,.\,\,\mathbf{b})}^{2}}=144$ and $|\mathbf{a}|\,=4,$ then $|\mathbf{b}|\,=$

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

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• $\mathbf{a},\,\mathbf{b}$ and c are three vectors with magnitude $|\mathbf{a}|\,=4,$ $|\mathbf{b}|\,=4,$ $|\mathbf{c}|\,=2$ and such that $\mathbf{a}$ is perpendicular to $(\mathbf{b}+\mathbf{c}),\,\mathbf{b}$ is perpendicular to $(\mathbf{c}+\mathbf{a})$ and $\mathbf{c}$ is perpendicular to $(\mathbf{a}+\mathbf{b}).$ It follows that $|\mathbf{a}+\mathbf{b}+\mathbf{c}|$ is equal to

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• If $\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{c}\ne 0,$ where a, b and c are coplanar vectors, then for some scalar k

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