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Vector Algebra question

2025 · 22 Jan · Shift 2 · Q36
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  5. /2025 · 22 Jan · Shift 2 · Q36

Vector Algebra question

2025 · 22 Jan · Shift 2 · Q36

JEE MainMathematicsVector AlgebraMCQ+4 / −1
Let a⃗\vec{a}a and b⃗\vec{b}b be two unit vectors such that the angle between them is π3\frac{\pi}{3}3π​. If λa⃗+2b⃗\lambda \vec{a}+2 \vec{b}λa+2b and 3a⃗−λb⃗3 \vec{a}-\lambda \vec{b}3a−λb are perpendicular to each other, then the number of values of λ\lambdaλ in [−1,3][-1,3][−1,3] is :
  1. A
    1
  2. B
    3
  3. C
    2
  4. D
    0
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