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Find the equation of the line parallel t...

Find the equation of the line parallel to the vector `2bar(i)-bar(j)+2bar(k)`, and which passes through the point A whose position vector is `3bar(i)+bar(j)-bar(k)`. If P is a point on this line such that AP = 15, find the position vector of P.

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The correct Answer is:
`13 bar(i) - 4 bar(j) + 9 bar(k) (or ) - 7 bar(i) + 6 bar(j) - 1 bar(k)`
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