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If the distance between the points P(a ,...

If the distance between the points `P(a ,2,1)a n d\ Q(1,-1,1)` is 5 units find the value of `adot`

Text Solution

Verified by Experts

Given points are (a,2,10 and (1,-1,1)
`sqrt((a-1)^(2)+(2+1)^(2)+(1-1)^(2))=5`
`(a-1)^(2)+9+0=25`
`a^(2)-2a+1+9=25`
`a^(2)-2a-15=0`
`a^(2)-5a+3a-15=0`
`a(a-5)+3(a-5)=0`
`(a-5)(a+3)=0`
`a-5=0 or aa+3=0`
`a=+5or-3`
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