vectors-m

Related Questions

• If $\mathbf{a}=3\mathbf{i}-2\mathbf{j}+\mathbf{k},\,\,\mathbf{b}=2\mathbf{i}-4\mathbf{j}-3\mathbf{k}$ and $\mathbf{c}=-\mathbf{i}+2\mathbf{j}+2\mathbf{k},$ then $\mathbf{a}+\mathbf{b}+\mathbf{c}$ is

  ---

• A unit vector in the plane of the vectors $2\mathbf{i}+\mathbf{j}+\mathbf{k},\,$ $\,\mathbf{i}-\mathbf{j}+\mathbf{k}$ and orthogonal to $5\mathbf{i}+2\mathbf{j}+6\mathbf{k}$ is

  ---

• 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

  ---

• A force $\mathbf{F}=2\mathbf{i}+\mathbf{j}-\mathbf{k}$ acts at a point A, whose position vector is $2\mathbf{i}-\mathbf{j}$. The moment of F about the origin is

  ---

• In the triangle ABC, $\overrightarrow{AB}=\mathbf{a},\,\,\overrightarrow{AC}=\mathbf{c},\,\,\overrightarrow{BC}=\mathbf{b}$ , then

  ---