Question 1196159
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OC:CA = 1:2 means vector OC is 1/(1+2) = 1/3 of vector OA.<br>
OC = (1/3)(3i+6j) = i+2j<br>
The position vector of C is i+2j<br>
OD:DB = 2:1 means vector OD is 2/(2+1) = 2/3 of vector OB.<br>
OD = (2/3)(6i+3j) = 4i+2j<br>
The position vector of D is 4i+2j<br>
Vector CD is vector OD minus vector OC.<br>
CD = (4i+2j)-(i+2j) = 3i<br>
Vector AB is vector OB minus vector OA.<br>
AB = (6i+3j)-(3i+6j) = 3i-3j<br>