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Vector & 3D

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
If the square of the shortest distance between the lines $\frac{x-2}{1}=\frac{y-1}{2}=\frac{z+3}{-3}$ and $\frac{x+1}{2}=\frac{y+3}{4}=\frac{z+5}{-5}$ is $\frac{m}{n}$, where $m, n$ are coprime numbers, then $m+n$ is equal...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the point A divide the line segment joining the points $P(-1,-1,2)$ and $Q(5,5,10)$ internally in the ratio $r: 1(r>0)$. If $O$ is the origin...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let ${{\rm{L}}_1}:\frac{{x - 1}}{1} = \frac{{y - 2}}{{ - 1}} = \frac{{z - 1}}{2}$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\overrightarrow {\rm{a}} = \hat i + 2\hat j + \hat k$ and $\overrightarrow {\bf{b}} = 2\hat i + 7\hat j + 3\hat k$ ....
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\overrightarrow {\rm{a}} = 2\hat i - \hat j + 3\hat k,\overrightarrow {\;{\rm{b}}} = 3\hat i - 5\hat j + \hat k$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\vec a = \widehat {\rm{i}} + \widehat {\rm{j}} + \widehat {\rm{k}},\overrightarrow {\rm{b}} = 2\widehat {\rm{i}} + 2\widehat {\rm{j}} + \widehat {\rm{k}}$ and $...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Let ${\rm{A}}(x,y,z)$ be a point in xy-plane, which is equidistant from three points (0,3,2),(2,0,3) and (0,0,1).
Let ${\rm{B}} = (1,4, - 1)$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the image of the point (4,4,3) in the line $\frac{{x - 1}}{2} = \frac{{y - 2}}{1} = \frac{{z - 1}}{3}$ is $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let in a $\Delta ABC$, the length of the side AC be 6, the vertex B be (1, 2, 3) and the vertices A, C...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $\overrightarrow {\bf{a}} = \hat i + 2\hat j + 3\hat k,\overrightarrow {\bf{b}} = 3\hat i + \hat j - \hat k$ and $\vec c$...
JEE Main Mathematics Easy
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