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Vector & 3D

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
The force is given in terms of time t and displacement x by the equation
F = A cos Bx + C sin Dt...
JEE Main Physics Easy
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Q JEE MAIN 2019
The vector equation of plane through the line of intersection of the planes $x+y+z=1$ and $2 x+3 y+4 z=5$ which is perpendicular to the plane...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let a plane $P$ pass through the point $(3,7,-7)$ and contain the line, $\frac{x-2}{-3}=\frac{y-3}{2}=\frac{z+2}{1}$. If distance of the plane P from the origin is d...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If the mirror image of the point $(1,3,5)$ with respect to the plane $4 x-5 y+2 z=8$ is $(\alpha, \beta, \gamma)$, then $5(\alpha+\beta+\gamma)$ equals :
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}$ and $\vec{c}=\hat{j}-\hat{k}$ be three vectors such that $\vec{a} \times \vec{b}=\vec{c}$ and $\vec{a} \cdot \vec{b}=1$. If the length of projection vector of the...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let the plane passing through the point (–1, 0, –2) and perpendicular to each of the planes 2x + y – z = 2 and...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let $L$ be a line obtained from the intersection of two planes $x+2 y+z=6$ and $y+2 z=4$. If point $P(\alpha, \beta, \gamma)$ is the foot...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $|\vec{a}|=2, \mid \vec{b}=5$ and $|\vec{a} \times \vec{b}|=8$, then $|\vec{a} \cdot \vec{b}|$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let $a, b$ and $c$ be distinct positive numbers. If the vectors $a-a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k}$ and $c \hat{i}+c \hat{j}+b \hat{k}$ are co-planar, then...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
If the shortest distance between the straight lines $3(x-1)=6(y-2)=2(z-1)$ and $4(x-2)=2(y-\lambda)=(z-3)$, $\lambda \in \mathrm{R}$ is $\frac{1}{\sqrt{38}}$, then the integral value of $\lambda$ is equal to:
JEE Main Mathematics Easy
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