vectors-m

Related Questions

• For any three non-zero vectors ${{r}_{1}},\,{{r}_{2}}$ and ${{r}_{3}}$, $\begin{vmatrix} {{r}_{1}}\,.\,{{r}_{1}} & {{r}_{1}}\,.\,{{r}_{2}} & {{r}_{1}}\,.\,{{r}_{3}} \\ {{r}_{2}}\,.\,{{r}_{1}} & {{r}_{2}}\,.\,{{r}_{2}} & {{r}_{2}}\,.\,{{r}_{3}} \\ {{r}_{3}}\,.\,{{r}_{1}} & {{r}_{3}}\,.\,{{r}_{2}} & {{r}_{3}}\,.\,{{r}_{3}} \\ \end{vmatrix}=0$. Then which of the following is false

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

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• A unit vector in the $xy-$plane which is perpendicular to $4\mathbf{i}-3\mathbf{j}+\mathbf{k}$ is

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• If $ai+6j-k$ and $7i-3j+17k$ are perpendicular vectors, then the value of a is

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• If x and y are two unit vectors and $\pi $ is the angle between them, then $\frac{1}{2}|x-y|$ is equal to

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