Vector Algebra

JEE Advanced · Mathematics · 44 past questions

7 of 44 · show all

1. Q5 2024 Paper 2

   Let $\vec p=2\hat i+\hat j+3\hat k$ and $\vec q=\hat i-\hat j+\hat k$. If for some real numbers…

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2. Q8 2022 Paper 2

   Let $\hat{i}$, $\hat{j}$ and $\hat{k}$ be the unit vectors along the three positive coordinate axes. Let…

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3. Q23 2015 Paper 2

   Suppose that $\vec{p}$, $\vec{q}$ and $\vec{r}$ are three non-coplanar vectors in $\mathbb{R}^3$. Let the…

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4. Q30 2012 Paper 2

   If $\vec{a}$ and $\vec{b}$ are vectors such that $|\vec{a}+\vec{b}| = \sqrt{29}$ and…

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5. Q34 2011 Paper 2

   Let $\vec a=-\hat i-\hat k$, $\vec b=-\hat i+\hat j$ and $\vec c=\hat i+2\hat j+3\hat k$ be three given…

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6. Q36 2010 Paper 1

   If $\vec a$ and $\vec b$ are vectors in space given by $\vec a=\frac{\hat i-2\hat j}{\sqrt5}$ and…

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7. Q39 2009 Paper 1

   If $\vec a,\vec b,\vec c$ and $\vec d$ are unit vectors such that…

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