AP EAMCET · PHYSICS · Mathematics in Physics
Two position vectors are given by \(\overrightarrow{r_1}=(1,1,1)\) and \(\overrightarrow{r_2}=(1,-1,1)\). The unit vector in the direction of \(\overrightarrow{r_1} \times \overrightarrow{r_2}\)
- A \(\frac{\hat{\mathrm{i}}}{\sqrt{2}}-\frac{\hat{\mathrm{k}}}{\sqrt{2}}\)
- B \(-\frac{\hat{\mathrm{i}}}{\sqrt{2}}-\frac{\hat{\mathrm{k}}}{\sqrt{2}}\)
- C \(\frac{\hat{\mathrm{i}}}{\sqrt{2}}+\frac{\hat{\mathrm{k}}}{\sqrt{2}}\)
- D \(-\frac{\hat{\mathrm{i}}}{\sqrt{2}}+\frac{\hat{\mathrm{k}}}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(A) \(\frac{\hat{\mathrm{i}}}{\sqrt{2}}-\frac{\hat{\mathrm{k}}}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
We have…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from PHYSICS
- The energies required to set up in a cube of side \(10 \mathrm{~cm}\)
(i) a uniform electric field of \(10^7 \mathrm{Vm}^{-1}\) and
(ii) a uniform magnetic field of \(0.25 \mathrm{Wbm}^{-2}\) are respectively about
\[
\left(\mu_0=4 \pi \times 10^{-7} \mathrm{Hm}^{-1}, \varepsilon_0=8.9 \times 10^{-12} \mathrm{Fm}^{-1}\right)
\]AP EAMCET 2018 Medium - The angular velocity of a body changes from \(6 \mathrm{rad} \mathrm{s}^{-1}\) to \(21 \mathrm{rad} \mathrm{s}^{-1}\) in a time of 1.5 s. If the moment of inertia of the body is \(100 \mathrm{~g} \mathrm{~m}^2\), then the rate of change of angular momentum of the body isAP EAMCET 2025 Medium
- A small disc is on the top of a smooth hemisphere of radius ' R '. The smallest horizontal velocity ' \(V\) ' that should be imparted to the disc so that disc leaves the hemisphere surface without sliding down is (there is no friction)AP EAMCET 2024 Medium
- Two identical condensers \(M\) and \(N\) are connected in series with a battery. The space between the plates of \(M\) is completely filled with a dielectric medium of dielectric constant 8 and a copper plate of thickness \(\frac{d}{2}\) is introduced between the plates of \(N\). ( \(d\) is the distance between the plates). Then potential differences across \(M\) and \(N\) are, respectively, in the ratioAP EAMCET 2011 Hard
- In the adjacent shown circuit, a voltmeter of internal resistance \(R\), when connected across \(B\) and \(C\) reads \(\frac{100}{3}\) V. Neglecting the internal resistance of the battery, the value of \(R\) is
AP EAMCET 2009 Easy - A stone of mass \(2 \mathrm{~kg}\) tied to a light inextensible string of length \(\frac{5}{3} \mathrm{~m}\) is whirling in a circular path in a vertical plane. If the ratio of the maximum tension to the minimum tension in the string is 4 , then the speed of the stone at the highest point of the circle is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- Which compound among the following will have a permanent dipole moment?
AP EAMCET 2021 Easy - Which of the following metals cannot be obtained by auto-reduction of their compounds?AP EAMCET 2020 Medium
- If \((1+x)^n=a_0+a_1 x+a_2 x^2+\ldots+a_n x^n\) and \(a_0-a_2+a_4-a_6+\ldots=k \cos \frac{n \pi}{4}\), then \(k=\)AP EAMCET 2019 Medium
- Find the value of ' \(p\) ' and ' \(q\) ' if the function \(f(t)=t^3-6 t^2+p t+q\) defined on \([1,3]\) satisfies the Rolle's theorem for \(c=\frac{2 \sqrt{3}+1}{\sqrt{3}}\)AP EAMCET 2020 Easy
- During the electrolysis of copper sulphate aqueous solution using copper electrode, the reaction takine place at the cathode isAP EAMCET 2013 Easy
- If \(y=\sin \left(\log _e x\right)\), then \(x^2 \frac{d^2 y}{d x^2}+x \frac{d y}{d x}\) is equal toAP EAMCET 2008 Medium