Trendymwah193 Trendymwah193

20-12-2022
Mathematics

contestada

B) The point B divides AC in the ratio 2 : 3.
Work out vector OC in terms of a and b.
Simplify your answer.
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sqdancefan sqdancefan

20-12-2022

Answer:

c = (5b -3a)/2

Step-by-step explanation:

You want to find vector OC in terms of 'a' and 'b', given that B divides AC in the ratio 2 : 3.

Solution

The point B satisfies ...

B = (2C +3A)/5

Solving for C gives ...

5B -3A = 2C

C = (5B -3A)/2

In terms of the vectors a = OA, b = OB, this is ...

c = (5b -3a)/2

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