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The position vectors of the points A and B, relative to an origin O, are given by:What is the magnitude of the vector AB−→−𝐴𝐵→?

Question

The position vectors of the points A and B, relative to an origin O, are given by:

What is the magnitude of the vector AB \vec{AB} ?

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Solution

To answer this question, I need the specific position vectors of points A and B. The question seems to be missing this information.

However, I can explain the general process to find the magnitude of the vector AB (denoted as AB→).

  1. First, you need to find the vector AB→. If the position vectors of A and B are given by a→ and b→ respectively, then AB→ = b→ - a→.

  2. After finding AB→, you need to find its magnitude. The magnitude (or length) of a vector v→ = (v1, v2, ..., vn) in n-dimensional space is given by √(v1² + v2² + ... + vn²).

So, the magnitude of AB→ = √((b1 - a1)² + (b2 - a2)² + ... + (bn - an)²), where a1, a2, ..., an and b1, b2, ..., bn are the components of the vectors a→ and b→ respectively.

Please provide the specific vectors so I can give a more detailed answer.

This problem has been solved

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