हिंदी

If the position vectors of the points A and B are i^+8j^+4k^ and 7i^+2j^-8k^, then what will be the position vector of the midpoint of AB? -

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प्रश्न

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?

विकल्प

  • `4hati + 2hatj - hatk`

  • `2hati + 4hatj - hatk`

  • `4hati + 5hatj - 2hatk`

  • `hati + hatj - 5hatk`

MCQ
रिक्त स्थान भरें

उत्तर

`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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