AP EAMCET · Maths · Vector Algebra
Let \(O A, O B, O C\) be the co-terminal edges of a rectangular parallelopiped of volume \(V\) and let \(P\) be the vertex opposite to \(O\). Then, \([\overrightarrow{\mathbf{A P}} \overrightarrow{\mathbf{B P}} \overrightarrow{\mathbf{C P}}]\) is equal to
- A \(2 \mathrm{~V}\)
- B \(12 \mathrm{~V}\)
- C \(3 \sqrt{3} \mathrm{~V}\)
- D 0
Answer & Solution
Correct Answer
(A) \(2 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
Here, \(O A, O B, O C\) are the co-terminal edges of a rectangular parallelopiped of volume \(V\). Also, we know that the volume of rectangular parallelopiped \(=[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\) ie,…
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 Maths
- If a function \(f(x)\) defined on \([a, b]\) is discontinuous at \(x=\alpha \in(a, b)\), thenAP EAMCET 2023 Easy
- Let \(\bar{a}, \bar{b}\) and \(\bar{c}\) be non-coplanar vectors. If \(\mathrm{P}, \mathrm{Q}, \mathrm{R}\) and \(\mathrm{S}\) are four points with position vectors \(-\bar{a}+4 \bar{b}-3 \bar{c}, 3 \bar{a}+2 \bar{b}-5 \bar{c},-3 \bar{a}+8 \bar{b}-5 \bar{c}\) and \(-3 \bar{a}+2 \bar{b}+\bar{c}\) respectively then the ordered pair \((x, y)\) of real numbers such that \(\overline{P Q}=x \cdot \overline{P R}+y \cdot \overline{P S}\) isAP EAMCET 2017 Medium
- The square root of \(7+24 i\)AP EAMCET 2024 Easy
- are four points. If the line is parallel to then is equal toAP EAMCET 2021 Medium
- Let and are roots of . ThenAP EAMCET 2022 Hard
- \(\int \sin ^3(x) \cdot \cos ^3(x) d x=\)AP EAMCET 2020 Medium
More PYQs from AP EAMCET
- The direction cosines of the normal drawn to the plane passing through the points \((2,-1,5),(1,-3,4),(5,2,1)\) areAP EAMCET 2019 Easy
- If the area of a triangle \(A B C\) is \(4 \sqrt{5} \mathrm{sq}\). units, length of the side \(C A\) is 6 units and \(\tan \frac{B}{2}=\frac{\sqrt{5}}{4}\), then its smallest side is of lengthAP EAMCET 2025 Medium
- At \(T(\mathrm{~K})\), the equilibrium constant of \(\mathrm{H}_2(\mathrm{~g})+\mathrm{I}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})\) is 49 . If \(\left[\mathrm{H}_2\right],\left[\mathrm{I}_2\right]\) at equilibrium at the same temperature are \(2.0 \times 10^{-2} \mathrm{M}\) and \(8.0 \times 10^{-2} \mathrm{M}\) respectively, the [HI] at equilibrium in \(\mathrm{mol} \mathrm{L}^{-1}\) isAP EAMCET 2018 Medium
- The weight in grams of a non-volatile solute (mol. wt. 60) to be dissolved in \(90 \mathrm{~g}\) of water to produce a relative lowering of vapour pressure of 0.02 isAP EAMCET 2012 Easy
- If the degrees of freedom of a gas molecule is 6, then the total internal energy of the gas molecule at a temperature of \(47^{\circ} \mathrm{C~}(\mathrm{in~} \mathrm{eV})\) is
\(\left(\right.\) Boltzmann constant \(\left.=1.38 \times 10^{-23} \mathrm{~J} \mathrm{~K}^{-1}\right)\)AP EAMCET 2025 Medium - A ray of light incident along a line, meets another line \(7 x-y+1=0\) at the point \((0,1)\) and it is then reflected from this point along the line \(y+2 x=1\). Then the equation of the line of incidence of the ray of light isAP EAMCET 2023 Medium