vectors-m

Related Questions

• If $\mathbf{a}=\mathbf{i}+2\mathbf{j}+3\mathbf{k},\,\,\,\mathbf{b}=-\mathbf{i}+2\mathbf{j}+\mathbf{k}$ and $\mathbf{c}=3\mathbf{i}+\mathbf{j},$ then the unit vector along its resultant is

  ---

• 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

  ---

• The area of the parallelogram whose diagonals are the vectors $2\mathbf{a}-\mathbf{b}$ and $4\mathbf{a}-5\mathbf{b},$ where a and b are the unit vectors forming an angle of ${{45}^{o}},$ is

  ---

• If $\mathbf{a}=(1,\,\,-1)$ and $\mathbf{b}=(-\,2,\,m)$ are two collinear vectors, then $m =$

  ---

• Force $3\mathbf{i}+2\mathbf{j}+5\mathbf{k}$ and $2\mathbf{i}+\mathbf{j}-3\mathbf{k}$ are acting on a particle and displace it from the point $2\mathbf{i}-\mathbf{j}-3\mathbf{k}$ to the point $4\mathbf{i}-3\mathbf{j}+7\mathbf{k},$ then work done by the force is

  ---