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Vector Algebra question

2024 · 9 Apr · Shift 1 · Q84
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  5. /2024 · 9 Apr · Shift 1 · Q84

Vector Algebra question

2024 · 9 Apr · Shift 1 · Q84

JEE MainPhysicsVector AlgebraNumerical+4 / −1
If a⃗\vec{a}a and b⃗\vec{b}b makes an angle cos⁡−1(59)\cos ^{-1}\left(\frac{5}{9}\right)cos−1(95​) with each other, then ∣a⃗+b⃗∣=2∣a⃗−b⃗∣|\vec{a}+\vec{b}|=\sqrt{2}|\vec{a}-\vec{b}|∣a+b∣=2​∣a−b∣ for ∣a⃗∣=n∣b⃗∣|\vec{a}|=n|\vec{b}|∣a∣=n∣b∣ The integer value of n\mathrm{n}n is ‾\underline{\hspace{2cm}}​.
Numerical answer
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