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ludmilkaskok [199]
3 years ago
12

Help please I need the answers fast

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

AB = b - a

OP =  \frac{3}{4} b   \:  +  \frac{1}{4} a

Step-by-step explanation:

AB = -OA + OB

AB = -a + b we usually write the positive vector first

AB = b - a

We know that P divides AB in the ratio 3:1 so PB = 1/4 AB

AB is negative as we are going in the opposite direction

OP = OB - 1/4 AB

OP = b - 1/4 (b - a)

multiplying inside the brackets:

OP = b - 1/4b + 1/4a

OP = 3/4b + 1/4a

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