NVAEasyJEE Main 2023 · 24 January, Shift 1Dot Product

Mathematics Question from JEE Main 2023 · 24 January, Shift 1

Vectors a=ai^+bj^+k^\vec{a} = a\hat{i} + b\hat{j} + \hat{k} and b=2i^3j^+4k^\vec{b} = 2\hat{i} - 3\hat{j} + 4\hat{k} are perpendicular to each other when 3a+2b=73a + 2b = 7. The ratio of aa to bb is x/2x/2. The value of xx is:

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