vectors-m

Related Questions

• The vectors $3\,\mathbf{i}+\mathbf{j}-5\,\mathbf{k}$ and $a\,\mathbf{i}+b\,\mathbf{j}-15\,\mathbf{k}$ are collinear, if

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• Five points given by A, B, C, D, E are in a plane. Three forces $\overrightarrow{AC},\,\,\overrightarrow{AD}$ and $\overrightarrow{AE}$ act at A and three forces $\overrightarrow{CB},\,\,\overrightarrow{DB},\,\,\overrightarrow{EB}$ act at B. Then their resultant is

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• $|\mathbf{a}\times \mathbf{i}{{|}^{2}}+|\mathbf{a}\times \mathbf{j}{{|}^{2}}+|\mathbf{a}\times \mathbf{k}{{|}^{2}}=$

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• If $|\mathbf{a}|\,\,=3,\,\,\,|\mathbf{b}|\,\,=4$ and $|\mathbf{a}+\mathbf{b}|\,\,=5,$ then $|\mathbf{a}-\mathbf{b}|\,\,=$

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• If $|\mathbf{a}|=|\mathbf{b}|=1$ and $\mathbf{|a}+\mathbf{b}|=\sqrt{3}$, then the value of $(3\mathbf{a}-4\mathbf{b}).(2\mathbf{a}+5\mathbf{b})$ is

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