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Vector Algebra question

2021 · 16 Mar · Shift 1 · Q23
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  5. /2021 · 16 Mar · Shift 1 · Q23

Vector Algebra question

2021 · 16 Mar · Shift 1 · Q23

JEE MainMathematicsVector AlgebraMCQ+4 / −1
Let a vector αi^+βj^\alpha \widehat i + \beta \widehat jαi+βj​ be obtained by rotating the vector 3i^+j^\sqrt 3 \widehat i + \widehat j3​i+j​ by an angle 45 ∘^\circ∘ about the origin in counterclockwise direction in the first quadrant. Then the area of triangle having vertices (α\alphaα, β\betaβ), (0, β\betaβ) and (0, 0) is equal to :
  1. A
    12{1 \over {\sqrt 2 }}2​1​
  2. B
    12{1 \over 2}21​
  3. C
    1
  4. D
    2 2{\sqrt 2 }2​
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