WB JEE
Mathematics
Vector Algebra
Previous Years Questions

If $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$, $$\overrightarrow b = \widehat i - \widehat j + \widehat k$$ and $$\overrightarrow ... If$${\overrightarrow \alpha }$$is a unit vector,$$\overrightarrow \beta = \widehat i + \widehat j - \widehat k$$,$$\overrightarrow \gamma = \...
let $$\alpha$$, $$\beta$$, $$\gamma$$ be three non-zero vectors which are pairwise non-collinear. if $$\alpha$$ + 3$$\beta$$ is collinear with $$\gamm... If a($$\alpha\times\beta$$) + b($$\beta\times\gamma$$) + c($$\gamma$$+$$\alpha$$) = 0, where a, b, c are non-zero scalars, then ... The unit vector in ZOX plane, making angles$$45^\circ $$and$$60^\circ $$respectively with$$\alpha = 2\widehat i + 2\widehat j - \widehat k$$and... Let$$\widehat \alpha $$,$$\widehat \beta $$,$$\widehat \gamma $$be three unit vectors such that$$\widehat \alpha \, \times \,(\widehat \beta \ti...
The position vectors of the points A, B, C and D are $$3\widehat i - 2\widehat j - \widehat k$$, $$2\widehat i - 3\widehat j + 2\widehat k$$, $$5\wide... Let$$\overrightarrow \alpha $$=$$\widehat i + \widehat j + \widehat k$$,$$\overrightarrow \beta $$=$$\widehat i - \widehat j - \widehat k$$an... Let$$\overrightarrow \alpha $$,$${\overrightarrow \beta }$$,$${\overrightarrow \gamma }$$be the three unit vectors such that$$\overrightarrow ...
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...
If the sum of two unit vectors is a unit vector, then the magnitude of their difference is
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