vectors-m

Related Questions

• If $\mathbf{a}=\mathbf{i}+2\mathbf{j}-3\mathbf{k}$ and $\mathbf{b}=3\mathbf{i}-\mathbf{j}+2\mathbf{k},$ then the angle between the vectors $\mathbf{a}+\mathbf{b}$ and $\mathbf{a}-\mathbf{b}$ is

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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 $4i+j-k$ and $3i+mj+2k$ are at right angle, then $m=$

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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 $\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0},\,\,\mathbf{c}\ne \mathbf{0}$, then true statement is

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