vectors-m

Related Questions

• A, B, C, D are any four points, then $\overrightarrow{AB}\,\,.\,\,\overrightarrow{CD}\,\,+\,\overrightarrow{\,BC}\,\,.\,\,\overrightarrow{AD}\,\,+\overrightarrow{CA}\,\,.\,\,\overrightarrow{BD}\,\,=$

  ---

• A force of magnitude 6 acts along the vector $(9,\,6,\,-2)$ and passes through a point A (4, – 1, –7). The moment of the force about the point O (1, – 3, 2) is

  ---

• The direction cosines of vector $\mathbf{a}=3\mathbf{i}+4\mathbf{j}+5\mathbf{k}$ in the direction of positive axis of x, is

  ---

• If the position vectors of the points A, B, C be $\mathbf{i}+\mathbf{j},\,\,\,\mathbf{i}-\mathbf{j}$ and $a\,\,\mathbf{i}+b\,\mathbf{j}+c\,\mathbf{k}$ respectively, then the points A, B, C are collinear if

  ---

• If the position vectors of the vertices A, B, C of a triangle ABC are $7\mathbf{j}+10\mathbf{k},$ $-\mathbf{i}+6\mathbf{j}+6\mathbf{k}$ and $-4\mathbf{i}+9\mathbf{j}+6\mathbf{k}$ respectively, the triangle is

  ---