The point (22, 23) divides the join of P (7, 5) and Q externally in the ratio 3:5, then Q=?
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P(7, 5)
R(22, 23)
Using vectors
PR = [22 23] - [7, 5] = [15 18]
OQ = OP + PQ
OQ = [7 5] + 3/8PR
= [7 5] + 3/8[15 18]
= [7 5] + [45/8 27/4]
= [101/8 47/4]
Q(101/8, 47/4)
R(22, 23)
Using vectors
PR = [22 23] - [7, 5] = [15 18]
OQ = OP + PQ
OQ = [7 5] + 3/8PR
= [7 5] + 3/8[15 18]
= [7 5] + [45/8 27/4]
= [101/8 47/4]
Q(101/8, 47/4)
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