Science:Math Exam Resources/Courses/MATH152/April 2015/Question B 3 (c)/Solution 1

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We have


for some , , and from the question and part (b).

It is easy to see that the line is just the intersection of plane , i. e., any point on the line has to satisfy both equations. Thus we have following equation for line .


Now let's find out the relation among parameters . The first coordinate shows , while the third shows . Summing these equations gives , hence . Substituting it back gives: for any point on line it satisfies

which has is equivalent equation form; for any point on the line satisfies