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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 postion vector of any point lying on the line can be given by a+cbwhere ‘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 questionand 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+2khence the required vectore can be written as ( i+j-k)+c(-2j+2k)
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