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If the position vectors of A and B respe...

If the position vectors of A and B respectively `hati+3hatj-7hatk and 5 hati-2hatj+4hatk`, then find AB

Text Solution

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Let O be the origin, then we have
`OA=hati+3hatj-7hatk`
and `OB=5hati-2hatj+4hatk`
Now, `AB=OB-OA=(5hati-2hatj+4hatk)-(hati+3hatj-7hatk)`
`=4hati-5hatj+11hatk`
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