If (a+3b) ⟂ (7a−5b) and (a−4b) ⟂ (7a−2b)... | Vectors | JEE Main

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JEE MAIN 2021 S2

25-07-2021 S2

Question

If $(\vec{a}+3 \vec{b})$ is perpendicular to $(7 \vec{a}-5 \vec{b})$ and $(\vec{a}-4 \vec{b})$ is perpendicular to $(7 \vec{a}-2 \vec{b})$, then the angle between $\vec{a}$ and $\vec{b}$ (in degrees) is $\_\_\_\_$ .

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