vectors-m

Related Questions

• If $\overrightarrow{{{F}_{1}}}=\mathbf{i}-\mathbf{j}+\mathbf{k},$ $\overrightarrow{{{F}_{2}}}=-\mathbf{i}+2\mathbf{j}-\mathbf{k},$ $\overrightarrow{{{F}_{3}}}=\mathbf{j}-\mathbf{k},$ $\vec{A}=4\mathbf{i}-3\mathbf{j}-2\mathbf{k}$ and $\vec{B}=6\mathbf{i}+\mathbf{j}-3\mathbf{k},$ then the scalar product of $\overrightarrow{{{F}_{1}}}+\overrightarrow{{{F}_{2}}}+\overrightarrow{{{F}_{3}}}$and $\overrightarrow{AB}$ will be

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• If $\hat{i}, \hat{j}, \hat{k}$ are unit vectors, then

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• The position vectors of the points A, B and C are $\mathbf{i}+\mathbf{j},\,\,\mathbf{j}+\mathbf{k}$ and $\mathbf{k}+\mathbf{i}$ respectively. The vector area of the $\Delta ABC=\pm \,\frac{1}{2}\overrightarrow{\alpha }$ where $\overrightarrow{\alpha }=$

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• ${{(\mathbf{r}\,.\,\mathbf{i})}^{2}}+{{(\mathbf{r}\,.\,\mathbf{j})}^{2}}+{{(\mathbf{r}\,.\,\mathbf{k})}^{2}}=$

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• If $\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0}$ and $|\mathbf{a}+\mathbf{b}|\,=\,|\mathbf{a}-\mathbf{b}|,$ then the vectors a and b are

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