Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2023
08-04-2023 S2
Question
Let the vectors $\vec{a}, \vec{b}, \vec{c}$ represent three coterminous edges of a parallelopiped of volume $V$. Then the volume of the parallelopiped, whose coterminous edges are represented by $\vec{a}, \vec{b}+\vec{c}$ and $\vec{a}+2 \vec{b}+3 \vec{c}$ is equal to
Select the correct option:
A
3V
B
6V
C
V
D
2V
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Question Tags
JEE Main
Mathematics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20232023
Let $\vec{a}=-\hat{i}-\hat{j}+\hat{k}, \vec{a} \cdot \vec{b}=1$ and $\vec{a} \times \vec{b}=\hat{i}-\hat{j}$. Then $\vec{a}-6 \vec{b}$ is equal to
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $T$ and $C$ respectively be the transverse and conjugate axes of the hyperbola $16 x^2-y^2+64 x+4 y+ 44=0$. Then...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
The integral $16 \int_1^2 \frac{\mathrm{dx}}{\mathrm{x}^3\left(\mathrm{x}^2+2\right)^2}$ is equal to
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let N be the sum of the numbers appeared when two fair dice are rolled and let the probability that...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
\text { The shortest distance between the lines } x+1=2 y=-12 z \text { and } x=y+2=6 z-6 \text {...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
\sum_{k=0}^6{ }^{51-k} \mathrm{C}_3 \text { is equal to }
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $y=y(t)$ be a solution of the differential equation $\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}$, Where, $\alpha>0, \beta>0$ and $\gamma>0$....
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $A, B, C$ be $3 \times 3$ matrices such that $A$ is symmetric and $B$ and $C$ are skew-symmetric....
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $f: R \rightarrow R$ be a function defined by $f(x)=\log _{\sqrt{m}}\{\sqrt{2}(\sin x-\cos x)+m-2\}$, for some $m$, such that the...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
The equations of two sides of a variable triangle are $x=0$ and $y=3$, and its third side is a tangent...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
The number of functions $f:\{1,2,3,4\} \rightarrow\{a \in Z:|a| \leq 8\}$ satisfying $f(n)+\frac{1}{n} f(n+1)=1, \forall n \in\{1,2,3\}$ is
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
\text { Let } \Delta, \nabla \in\{\wedge, \vee\} \text { be such that }(p \rightarrow q) \Delta(p \nabla q) \text...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $A=\left[\begin{array}{cc}\frac{1}{\sqrt{10}} & \frac{3}{\sqrt{10}} \\ \frac{-3}{\sqrt{10}} & \frac{1}{\sqrt{10}}\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & -i \\ 0 & 1\end{array}\right]$, where $i=\sqrt{-1}$. If $...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
If the four points, whose position vectors are $3 \hat{i}-4 \hat{j}+2 \hat{k}, \hat{i}+2 \hat{j}-\hat{k},-2 \hat{i}-\hat{j}+3 \hat{k}$ and $...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20232023
Let $f(x)=2 x^n+\lambda, \lambda \in R, n \in N$, and $f(4)=133, f(5)=255$. Then the sum of all the positive integer...
JEE MainMathematicsEasy
View Solution→
QJEE MAIN 20212021
Reaction of Grignard reagent, $\mathrm{C}_2 \mathrm{H}_5 \mathrm{MgBr}$ with $\mathrm{C}_8 \mathrm{H}_8 \mathrm{O}$ followed by hydrolysis gives compound " A " which...
JEE MainChemistryEasy
View Solution→