vectors-m

Related Questions

• $\mathbf{p}=2\mathbf{a}-3\mathbf{b},\,\,\,\mathbf{q}=\mathbf{a}-2\mathbf{b}+\mathbf{c},\,\,\mathbf{r}=-3\mathbf{a}+\mathbf{b}+2\mathbf{c};$ where a, b and c being non-zero, non-coplanar vectors, then the vector $-2\mathbf{a}+3\mathbf{b}-\mathbf{c}$ is equal to

  ---

• A vector of length 3 perpendicular to each of the vectors $3\,\mathbf{i}+\mathbf{j}-4\,\mathbf{k}$ and $6\,\mathbf{i}+5\,\mathbf{j}-2\,\mathbf{k}$ is

  ---

• If a and b be unlike vectors, then a . b =

  ---

• The vector $2\,\mathbf{i}+a\,\mathbf{j}+\mathbf{k}$ is perpendicular to the vector $2\,\mathbf{i}-\mathbf{j}-k,$ if $a=$

  ---

• If ABCD is a parallelogram, $\overrightarrow{AB}=2\,\mathbf{i}+4\,\mathbf{j}-5\,\mathbf{k}$ and $\overrightarrow{AD}=\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},$ then the unit vector in the direction of BD is

  ---