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## Vector Algebra

### Mathematics

#### Previous Years Questions

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If $${\overrightarrow \alpha }$$ is a unit vector, $$\overrightarrow \beta = \widehat i + \widehat j - \widehat k$$, ...
WB JEE 2022
If $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$, $$\overrightarrow b = \widehat i - \widehat j + \wide... WB JEE 2022 If a($$\alpha\times\beta$$) + b($$\beta\times\gamma$$) + c($$\gamma$$+$$\alpha$$) = 0, where a, b,... WB JEE 2021 let$$\alpha$$,$$\beta$$,$$\gamma$$be three non-zero vectors which are pairwise non-collinear. if$$\alpha$$+ 3$$\be...
WB JEE 2021
The unit vector in ZOX plane, making angles $$45^\circ$$ and $$60^\circ$$ respectively with $$\alpha = 2\widehat i + ... WB JEE 2020 The position vectors of the points A, B, C and D are$$3\widehat i - 2\widehat j - \widehat k$$,$$2\widehat i - 3\wideh...
WB JEE 2019
Let $$\widehat \alpha$$, $$\widehat \beta$$, $$\widehat \gamma$$ be three unit vectors such that $$\widehat \alpha \,... WB JEE 2019 Let$$\overrightarrow \alpha $$,$${\overrightarrow \beta }$$,$${\overrightarrow \gamma }$$be the three unit vector... WB JEE 2018 Let$$\overrightarrow \alpha $$=$$\widehat i + \widehat j + \widehat k$$,$$\overrightarrow \beta $$=$$\widehat i ...
WB JEE 2018
If the sum of two unit vectors is a unit vector, then the magnitude of their difference is
WB JEE 2017
For any vector x, where $$\widehat i$$, $$\widehat j$$, $$\widehat k$$ have their usual meanings the value of {(x \tim...
WB JEE 2017

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