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Determine-and-N-by-using-vector-such-that-point-1-3-2-4-2-2-and-5-N-lies-on-a-straight-line-

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Question Number 6321 by sanusihammed last updated on 23/Jun/16
Determine ∈ and N by using vector such that point (−1,3,2), (−4,−2,−2) and (5,∈,N) lies on a straight line
Determine∈andNbyusingvectorsuchthatpoint(−1,3,2),(−4,−2,−2)and(5,∈,N)liesonastraightline
Answered by nburiburu last updated on 23/Jun/16
let′s find the line: (x;y;z)=(−1;3;2)+λ.[(−4;−2;−2)−(−1;3;2)] now let be (x;y;z)=(5;ε;N) and you can solve it. the result should be λ=−2; ε=13; N=10.
let′sfindtheline:(x;y;z)=(−1;3;2)+λ.[(−4;−2;−2)−(−1;3;2)]nowletbe(x;y;z)=(5;ϵ;N)andyoucansolveit.theresultshouldbeλ=−2;ϵ=13;N=10.

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