# Vector Algebra · Mathematics · WB JEE

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WB JEE 2023
The value of 'a' for which the scalar triple product formed by the vectors $$\overrightarrow \alpha = \widehat i + a\widehat j + \widehat k,\overrig... WB JEE 2023 If the volume of the parallelopiped with$$\overrightarrow a \times \overrightarrow b ,\overrightarrow b \times \overrightarrow c $$and$$\overrigh...
WB JEE 2022
If $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$, $$\overrightarrow b = \widehat i - \widehat j + \widehat k$$ and $$\overrightarrow ... WB JEE 2022 If$${\overrightarrow \alpha }$$is a unit vector,$$\overrightarrow \beta = \widehat i + \widehat j - \widehat k$$,$$\overrightarrow \gamma = \...
WB JEE 2021
let $$\alpha$$, $$\beta$$, $$\gamma$$ be three non-zero vectors which are pairwise non-collinear. if $$\alpha$$ + 3$$\beta$$ is collinear with $$\gamm... WB JEE 2021 If a($$\alpha\times\beta$$) + b($$\beta\times\gamma$$) + c($$\gamma$$+$$\alpha$$) = 0, where a, b, c are non-zero scalars, then ... WB JEE 2020 The unit vector in ZOX plane, making angles$$45^\circ $$and$$60^\circ $$respectively with$$\alpha = 2\widehat i + 2\widehat j - \widehat k$$and... WB JEE 2019 Let$$\widehat \alpha $$,$$\widehat \beta $$,$$\widehat \gamma $$be three unit vectors such that$$\widehat \alpha \, \times \,(\widehat \beta \ti...
WB JEE 2019
The position vectors of the points A, B, C and D are $$3\widehat i - 2\widehat j - \widehat k$$, $$2\widehat i - 3\widehat j + 2\widehat k$$, $$5\wide... WB JEE 2018 Let$$\overrightarrow \alpha $$=$$\widehat i + \widehat j + \widehat k$$,$$\overrightarrow \beta $$=$$\widehat i - \widehat j - \widehat k$$an... WB JEE 2018 Let$$\overrightarrow \alpha $$,$${\overrightarrow \beta }$$,$${\overrightarrow \gamma }$$be the three unit vectors such that$$\overrightarrow ...
WB JEE 2017
For any vector x, where $$\widehat i$$, $$\widehat j$$, $$\widehat k$$ have their usual meanings the value of {(x \times \widehat i)^2} + {(x \times...
WB JEE 2017
If the sum of two unit vectors is a unit vector, then the magnitude of their difference is
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