Contact us
Back

Report Issue

Vector & 3D

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
If the line, $2 x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4 x-2 y+\alpha=0$ and $6 x-3 y+\beta=0$, respectively, then the...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2020
If the volume of a parallelopiped, whose coterminus edges are given by the vectors $\vec{a}=\hat{i}+\hat{j}+n \hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-n \hat{k}$ and $...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2020
If $(a, b, c)$ is the image of the point $(1,2,-3)$ in the line, $\frac{x+1}{2}=\frac{y-2}{-2}=\frac{z}{-1}$, then $a+b+c$ is equal to :
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2020
If $\vec{a}$ and $\vec{b}$ are unit vectors, then the greatest value of $\sqrt{3}|\vec{a}+\vec{b}|+|\vec{a}-\vec{b}|$ is
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2020
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2019
If an angle between the line, $\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}$ and the plane, $x-2 y-k z=3$ is $\cos ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)$
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2019
Let $S$ be the set of all real values of $\lambda$ such that a plane passing through the points $\left(-\lambda^2, 1,1\right)$, $\_\_\_\_$ $\left(1,-\lambda^2, 1\right)$ and...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2020
A plane P meets the coordinate axes at A, B and C respectively. The centroid of ΔABC is given to be (1, 1, 2). Then...
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2019
Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three unit vectors, out of which vectors $\vec{b}$ and $\vec{c}$ are non-parallel. If $\alpha$ and $\beta$ are the angles...
JEE Main Chemistry Medium
View Solution →
Q JEE MAIN 2020
The shortest distance between the lines $\frac{x-1}{0}=\frac{y+1}{-1}=\frac{z}{1}$ and $x+y+z+1=0,2 x-y+z+3=0$ is :
JEE Main Mathematics Easy
View Solution →