Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE Advance 2008
paper 1
Question
The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors $\hat{a}, \hat{b}, \hat{c}$ such that $\hat{a} \cdot \hat{b}=\hat{b} \cdot \hat{c}=\hat{c} \cdot \hat{a}=1 / 2$. Then the volume of the parallelopiped is
Select the correct option:
A
$\frac{1}{\sqrt{2}}$
B
$\frac{1}{2 \sqrt{2}}$
C
$\frac{\sqrt{3}}{2}$
D
$\frac{1}{\sqrt{3}}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Advance
Mathematics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20112011
Let $\alpha$ and $\beta$ be the roots of $x^2-6 x-2=0$, with $\alpha>\beta$. If $a_n=\alpha^n-\beta^n$ for $n \geq 1$, then the...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20082008
Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20092009
A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
A straight line L through the point $(3,-2)$ is inclined at an angle $60^{\circ}$ to the line $\sqrt{3} \mathrm{x}+\mathrm{y}=1$. If...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
The figure shows the P-V plot of an ideal gas taken through a cycle ABCDA . The part ABC is...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20112011
The value of $\int_{\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^2}{\sin x^2+\sin \left(\ln 6-x^2\right)} d x$ is
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20082008
Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ be three sets of complex numbers as defined below $$ \begin{aligned} & A=\{z: \operatorname{Im} z \geq...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20112011
Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$ be three vectors. A vector $\vec{v}$ in the plane of $\vec{a}$ and $\vec{b}$, whose projection...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
Under the influence of the coulomb field of charge $+Q$, a charge $-q$ is moving around it in an elliptical...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance2007
A solution of metal ion when treated with KI gives a red precipitate which dissolves in excess KI to give...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance2007
The number of stereoisomers obtained by bromination of trans-2-butene is
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20112011
Let $P=\{\theta: \sin \theta-\cos \theta=\sqrt{2} \cos \theta\}$ and $Q=\{\theta: \sin \theta+\cos \theta=\sqrt{2} \sin \theta\}$ be two sets. Then
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance2007
Consider a titration of potassium dichromate solution with acidified Mohr's salt solution using diphenylamine as indicator. The number of moles...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20082008
Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ be three sets of complex numbers as defined below $$ \begin{aligned} & A=\{z: \operatorname{Im} z \geq...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20112011
Let $\left(x_0, y_0\right)$ be solution of the following equations $$ \begin{aligned} (2 \mathrm{x})^{\ln 2} & =(3 \mathrm{y})^{\ln 3} \\ 3^{\ln...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20092009
The mass M shown in the figure oscillates in simple harmonic motion with amplitude A . The amplitude of the...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20082008
Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ be three sets of complex numbers as defined below $$ \begin{aligned} & A=\{z: \operatorname{Im} z \geq...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance2007
A positron is emitted from ${ }^{23} \mathrm{Na}_{11}$. The ratio of the atomic mass and atomic number of the resulting...
JEE AdvanceChemistryEasy
View Solution→