If the distance from point P to focus F1 on hyperbola x236 − Y2100 = 1 is equal to 7, then the distance from point P to another focus F2 is 7______ ．

From the definition of hyperbola, we know that | Pf1 | - | PF2 | = 2A = 12, | Pf1 | = 7, so | PF2 | = 19

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1. If F1 and F2 are the two focal points of hyperbola x ^ 2 / 9-y ^ 2 / 16 = 1, if the distance between a point m on the hyperbola and one of its focal points is equal to 16, find the distance between the other focal point
2. Let F1 and F2 be the two focuses of hyperbola x2a2 − y2b2 = 1 (a > 0, b > 0). If F1, F2 and P (0, 2b) are the three vertices of an equilateral triangle, then the eccentricity of hyperbola is______ ．
3. It is known that the focus of the hyperbola X & # 178 / / A & # 178; - Y & # 178 / / B & # 178; = 1 is F1 and F2, And the point P on the hyperbola satisfies that Pf1 is perpendicular to PF2, Pf1 = 3, PF2 = 4?
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6. Let F1 and F2 be the left and right focus of hyperbola (x ^ 2) - (y ^ 2 / 9) = 1 respectively Let F1 and F2 be the left and right focus of hyperbola (x ^ 2) - (y ^ 2 / 9) = 1 respectively. If P is on hyperbola and Pf1 vector * PF2 vector = 0, then | Pf1 vector + PF2 vector | =? The answer is 2 root 10. But I can't work it out
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18. It is known that the two focal points of hyperbola x ^ 2 / 9-y ^ 2 / 16 = 1 are F1 and F2 respectively, the point P is on the hyperbola, and | Pf1 | x | PF2 | = 32, so the size of angle f1pf2 is calculated
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