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Question
If the position vectors of points A and B are `hati + 8hatj + 4hatk` and `7hati + 2hatj - 8hatk`, then what will be the position vector of the midpoint of AB?
Options
`4hati + 2hatj - hatk`
`2hati + 4hatj - hatk`
`4hati + 5hatj - 2hatk`
`hati + hatj - 5hatk`
MCQ
Fill in the Blanks
Solution
`underline(4hati + 5hatj - 2hatk)`
Explanation:
If M`(overlinem)` is the mid-point of AB, then
`overlinem = (overlinea + overlineb)/2`
⇒ `overlinem = (hati + 8hatj + 4hatk + 7hati + 2hatj - 8hatk)/2 = 4hati + 5hatj - 2hatk`
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