Given a vector = (1,2), B vector = (- 2, n) (n > 1), the angle between a and B is 45 degrees Given a vector = (1,2), B vector = (- 2, n) (n > 1), the angle between a and B is 45 degrees Find B, if C vector and B are in the same direction, and a is perpendicular to C-A, find C

Given a vector = (1,2), B vector = (- 2, n) (n > 1), the angle between a and B is 45 degrees Given a vector = (1,2), B vector = (- 2, n) (n > 1), the angle between a and B is 45 degrees Find B, if C vector and B are in the same direction, and a is perpendicular to C-A, find C


(1) AB = | a | ×| B | × cos 45 °; - 2 + 2 n = √ 5 × √ (4 + N 2) × √ 2 / 2; 24n-8n 4 = (5 / 2) (N 2 4); 8N 2-16n 8 = 5N 2 20; 3N 2-16n-12 = 0; (3N 2) the (n-6) = 0; n = - 2 / 3 or n = 6; ∵ 2n-2 ≥ 0; ∵ n ∵

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