Math

2004 (2nd)
course2-3.2
Let P and Q be points on the line y=x+4
where the x-coordinates of P and Q are p and p+1,respectively.Let O denote the origin.
(1)For 2 vectors OP(vector)and OQ(vector),the inner product OP(vector)*OQ(vector) takes its minimum when p is JK/L
(2)For P and Q satisfying (1),the value of cosPOQ is MN/OP
(3)For P and Q satisfying (1),consider the triangle PQR whose center of gravity is O.The coordinates of the vertex R are (Q,RS).
Please help me.Can you solve this problem?How to solve this?I don't understand well.So I need a help.

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