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Vector Algebra question

2023 · 13 Apr · Shift 2 · Q22
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  5. /2023 · 13 Apr · Shift 2 · Q22

Vector Algebra question

2023 · 13 Apr · Shift 2 · Q22

JEE MainMathematicsVector AlgebraMCQ+4 / −1
Let ∣a⃗∣=2,∣b⃗∣=3|\vec{a}|=2,|\vec{b}|=3∣a∣=2,∣b∣=3 and the angle between the vectors a⃗\vec{a}a and b⃗\vec{b}b be π4\frac{\pi}{4}4π​. Then ∣(a⃗+2b⃗)×(2a⃗−3b⃗)∣2|(\vec{a}+2 \vec{b}) \times(2 \vec{a}-3 \vec{b})|^{2}∣(a+2b)×(2a−3b)∣2 is equal to :
  1. A
    441
  2. B
    482
  3. C
    841
  4. D
    882
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