The vector (a) is a multiple of the vector (2i +3j) and (b) is a multiple of (2i+5j) The sum (a+b) is a multiple of the vector (8i +15j). Given that /a+b/= 34 and the scaler multiple of (8i+15j) is positive, Find the magnitude of a and b.​

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Step-by-step explanation:

Let ,, and be scalars such that:

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The question states that . In other words:

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Make use of the fact that whereas .

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The question also states that the scalar multiple here is positive. Hence, .

Therefore:

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could also be expressed in terms of and :

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Equate the two expressions and solve for and :

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Hence:

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