Solving Vector Equations: Step-by-Step Guide for Beginners

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To solve the vector equation 1/2B X (1/2A + 1/2C), the initial step involves simplifying the expression inside the brackets, resulting in another vector. The discussion highlights that the order of operations—whether to first multiply B by 1/2 and then cross with the resulting vector, or to cross B with the vector first and then apply the scalar—does not affect the final outcome. Both approaches yield the same result, confirming the flexibility in handling scalar multiplication and vector cross products. This realization provides reassurance for beginners tackling vector equations. Understanding these foundational concepts is crucial for effective problem-solving in vector mathematics.
salman213
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1. In the question

1/2B X (1/2A + 1/2C)

Where B and A and C are all vectors what would I do first.

I know first the brackets, 1/2A + 1/2C = another vector

now do I do 1/2*B then cross the answer with the vector. OR do I cross B with the vector then multiply the answer by the scalar 1/2?

THANKS
 
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nevermind i just tried it and i get the same answer either way so its ok :D
 

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