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the position vector of a point lying on the line joining the points whose position vectors are i+j-k and i-j+k

the position vector of a point lying on the line joining the points whose position  vectors are i+j-k and i-j+k

Grade:12th pass

1 Answers

Sarfaraz Ahamed
26 Points
3 years ago
The postion vector of any point lying on the line can be given by a+cb
where ‘a’ is the postion vector of any point on the line required
‘b’ is the the direction vectore of the required line and
‘c’ is any constanst.
therefore we can take ‘a’ to be either  i+j-k or i-j+k, let us take  i+j-k for this question
and the direction vector ‘b’ can found by the direction vector of  i+j-k to  i-j+k by subtraction the latter one from the preceding one 
b=  i-j+k – ( i+j-k) = -2j+2k
hence the required vectore can be written as ( i+j-k)+c(-2j+2k)

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