The scalar product problem of the first higher vector: we know that the vector a = (1 + √ 3), the angle between B and a is 3 / π, and a * b = 4 It is known that the vector a = (1 + √ 3), the angle between B and a is 3 / π, and a * b = 4 (1) Find the vector B; (2) Let m = a + KB, n = 3ka-2b (k is a positive real number). When m ⊥ n, whether M + N and a are collinear or not is the reason

It is known that: vector a = (1, √ 3), the angle between B and a is π / 3, and a · B = 4 (I think the condition is wrong, so change two places) (1) find vector B; let vector b = (x, y), then | a | · | B | cos (π / 3) = 2 √ (XX + YY) / 2 = √ (XX + YY) = 4, and X + y √ 3 = 4, solve the equations √ (XX + YY) = 4, ① x + y √ 3 = 4

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