vectors-m

Related Questions

• If $\vec{\lambda }$ is a unit vector perpendicular to plane of vector a and b and angle between them is $\theta$, then a . b will be

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• If a, b, c are position vector of vertices of a triangle $ABC$, then unit vector perpendicular to its plane is

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• 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 $\mathbf{a}=2\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and $|x\,\mathbf{a}|\,\,=1,$ then $x =$

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• If $\mathbf{p}=\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $\mathbf{q}=3\mathbf{i}+\mathbf{j}+2\mathbf{k},$ then a vector along r which is linear combination of p and q and also perpendicular to q is

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