vectors-m

Related Questions

• If $|\mathbf{a}|+|\mathbf{b}|\,=\,|\mathbf{c}|$ and $\mathbf{a}+\mathbf{b}=\mathbf{c},$ then the angle between a and b is

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• $\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a};\,\,\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b};\,\,\mathbf{a}\ne 0;\,\,\mathbf{b}\ne 0;\,\,\mathbf{a}\ne \lambda \mathbf{b},\,\,$a is not perpendicular to b, then $\mathbf{r}=$

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• The moment of a force represented by $\overrightarrow{F}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ about the point $2\,\mathbf{i}-\mathbf{j}+\mathbf{k}=$

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• If the position vectors of the points A, B, C, D be $\mathbf{i}+\mathbf{j}+\mathbf{k},\,\,2\,\mathbf{i}+5\,\mathbf{j},\,\,3\,\mathbf{i}+2\,\mathbf{j}-3\mathbf{k}$and $\mathbf{i}-6\,\mathbf{j}-\mathbf{k},$ then the angle between the vectors $\overrightarrow{AB}$ and $\overrightarrow{CD}$ is

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• For any three non-zero vectors ${{r}_{1}},\,{{r}_{2}}$ and ${{r}_{3}}$, $\begin{vmatrix} {{r}_{1}}\,.\,{{r}_{1}} & {{r}_{1}}\,.\,{{r}_{2}} & {{r}_{1}}\,.\,{{r}_{3}} \\ {{r}_{2}}\,.\,{{r}_{1}} & {{r}_{2}}\,.\,{{r}_{2}} & {{r}_{2}}\,.\,{{r}_{3}} \\ {{r}_{3}}\,.\,{{r}_{1}} & {{r}_{3}}\,.\,{{r}_{2}} & {{r}_{3}}\,.\,{{r}_{3}} \\ \end{vmatrix}=0$. Then which of the following is false

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