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If the position vectors of the points A and B are i+3j-k and 31-1-3k, then what will be the position vector of the midpoint of AB?
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If the position vectors of the points A and B are i+3j-k and 31-1-3k, ...
Calculation of the Position Vector of the Midpoint of AB

Given:
- Position vector of point A: i + 3j - k
- Position vector of point B: 3i - j - 3k

Formula for Midpoint:
- To find the midpoint of two points A and B, we use the formula: Midpoint = (A + B) / 2

Calculation:
- Let's first calculate the sum of the position vectors of points A and B:
- A + B = (i + 3j - k) + (3i - j - 3k)
= i + 3j - k + 3i - j - 3k
= 4i + 2j - 4k

- Now, to find the midpoint, we divide the sum by 2:
- Midpoint = (4i + 2j - 4k) / 2
= 2i + j - 2k

Conclusion:
- Therefore, the position vector of the midpoint of AB is 2i + j - 2k.
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If the position vectors of the points A and B are i+3j-k and 31-1-3k, then what will be the position vector of the midpoint of AB?
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