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

  ---

• If $\mathbf{a}=2\mathbf{i}+4\mathbf{j}-5\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$, then $|\mathbf{a}\times \mathbf{b}|$ is

  ---

• The work done by the force $F=2\mathbf{i}-3\mathbf{j}+2\mathbf{k}$ in displacing a particle from the point (3, 4, 5) to the point (1, 2, 3) is

  ---

• The value of $\lambda $ for which the vectors $2\lambda \mathbf{i}+\mathbf{j}-\mathbf{k}$ and $2\mathbf{j}+\mathbf{k}$ are perpendicular, is

  ---

• A vector of magnitude 14 lies in the xy-plane and makes an angle of ${{60}^{o}}$ with x-axis. The components of the vector in the direction of x-axis and y-axis are

  ---