AP EAMCET · PHYSICS · Mathematics in Physics
The component of vector \(\overrightarrow{\mathbf{A}}=a_x \hat{\mathbf{i}}+a_y \hat{\mathbf{j}}+a_z \hat{\mathbf{k}}\) along the direction of \(\hat{\mathbf{i}}-\hat{\mathbf{j}}\) is
- A \(a_x-a_y+a_z\)
- B \(a_x-a_y\)
- C \(\left(a_x-a_y\right) / \sqrt{2}\)
- D \(\left(a_x+a_y+a_z\right)\)
Answer & Solution
Correct Answer
(C) \(\left(a_x-a_y\right) / \sqrt{2}\)
Step-by-step Solution
Detailed explanation
Let \(\overrightarrow{\mathbf{B}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}\) Then component of vector \(\overrightarrow{\mathbf{A}}\) along \(\overrightarrow{\mathbf{B}}\)…
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
- 2 moles of a monatomic gas requires heat energy \(Q\) to be heated from \(30^{\circ} \mathrm{C}\) to \(40^{\circ} \mathrm{C}\) at constant volume. The heat energy required to raise the temperature of 4 moles of a diatomic gas from \(28^{\circ} \mathrm{C}\) to \(33^{\circ} \mathrm{C}\) at constant volume isAP EAMCET 2023 Easy
- If a straight current carrying wire of linear density \(0.12 \mathrm{~kg} \mathrm{~m}^{-1}\) is suspended in mid air by a uniform horizontal magnetic field of 0.5 T normal to the length of the wire, then the current through the wire is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\); Neglect earth's magnetic field)AP EAMCET 2025 Medium - \(\frac{50}{\pi} \mu \mathrm{F}\) capacitor is connected to a \(250 \mathrm{~V}, 50 \mathrm{~Hz}\)
AC supply. Then the rms current of the circuit isAP EAMCET 2022 Easy - Two small spheres each having equal positive charge \(Q\) (Coulomb) on each are suspended by two insulating strings of equal length \(L\) (metre) from a rigid hook (shown in figure). The whole set up is taken into satellite where there is no gravity. The two balls are now held by electrostatic forces in horizontal position, the tension in each string is then
AP EAMCET 2012 Medium - The device used to detect infrared radiations isAP EAMCET 2023 Hard
- The condition \(d Q=d W\) holds good in which of the following ?AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- Assertion A An astronaut inside a massive spaceship orbiting around the earth will experience a finite but small gravitational force.
Reason \(\mathbf{R}\) The centripetal force necessary to keep the spaceship in orbit around the earth is provided by the gravitational force between the earth and the spaceship.AP EAMCET 2011 Easy - If a function \(f\) is defined by :
\(\begin{aligned}
f(x) & =0, \text { when } x=1, \\
& =x^3-1, \text { when } 1 < x < \infty,
\end{aligned}\)
\(=x-1\), when \(-\infty < x < 1\), then at \(x=1, f\) isAP EAMCET 2019 Easy - \(\left|\frac{1}{i^{2020}}+\frac{2}{i^{2021}}+\frac{3}{i^{2022}}+\frac{4}{i^{2023}}\right|\) is equal toAP EAMCET 2021 Medium
- The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
AP EAMCET 2018 Medium - At \(\mathrm{T}(\mathrm{K})\), a gaseous mixture of \(\mathrm{H}_2\) and \(\mathrm{O}_2\) containing \(20 \%\) (weight/weight) of \(\mathrm{H}_2\) exerts a total pressure of 2 bar. What is the partial pressure of \(\mathrm{O}_2\) (in bar)?AP EAMCET 2023 Medium
- If in a hyperbola, the distance between the foci is 10 and transverse axis has length 8, then the length of its latus rectum isAP EAMCET 2021 Medium