vectors-m

Related Questions

• If the vectors $a\,\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $3\mathbf{i}+6\mathbf{j}-5\mathbf{k}$ are perpendicular to each other, then a is given by

  ---

• If a and b are adjacent sides of a rhombus, then

  ---

• If ABCDEF is regular hexagon, the length of whose side is a, then $\overrightarrow{AB}\,\,.\,\overrightarrow{AF}+\frac{1}{2}\,{{\overrightarrow{BC}}^{2}}=$

  ---

• If $\mathbf{p}=7\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $\mathbf{q}=3\mathbf{i}+\mathbf{j}+5\mathbf{k},$ then the magnitude of $\mathbf{p}-2\mathbf{q}$ is

  ---

• If $\mathbf{a},\mathbf{b}$ and $\mathbf{c}$ are perpendicular to $\mathbf{b}+\mathbf{c},\mathbf{c}+\mathbf{a}$and $\mathbf{a}+\mathbf{b}$ respectively and if $|\mathbf{a}+\mathbf{b}|=6,|\mathbf{b}+\mathbf{c}|=8$ and $|\mathbf{c}+\mathbf{a}|=10$ then $|\mathbf{a}+\mathbf{b}+\mathbf{c}|=$

  ---