vectors-m

Related Questions

• If the angle between two vectors $\mathbf{i}+\mathbf{k}$ and $\mathbf{i}-\mathbf{j}+a\mathbf{k}$ is $\pi /3,$ then the value of $a=$

  ---

• If $\mathbf{a}=2\mathbf{i}+4\mathbf{j}+2\mathbf{k}$ and $\mathbf{b}=8\mathbf{i}-3\mathbf{j}+\lambda \mathbf{k}$ and $\mathbf{a}\,\bot \,\mathbf{b},$ then value of $\lambda $ will be

  ---

• If $\mathbf{a}+\mathbf{b}$ bisects the angle between a and b, then a and b are

  ---

• If the position vector of one end of the line segment AB be $2\mathbf{i}+3\mathbf{j}-\mathbf{k}$ and the position vector of its middle point be $3\,(\mathbf{i}+\mathbf{j}+\mathbf{k}),$ then the position vector of the other end is

  ---

• If $\mathbf{a}, \mathbf{b}, \mathbf{c}, \mathbf{d}$ be the position vectors of the points A, B, C and D respectively referred to same origin O such that no three of these points are collinear and $\mathbf{a}+\mathbf{c}=\mathbf{b}+\mathbf{d},$ then quadrilateral ABCD is a

  ---