Engineering
Mathematics
Line of Greatest Slope
Question

Point D has coordinates as (3,4,5). Referring to the given figure, find the coordinates of point E.

(0,4,3)

(0,4,5)

(0,5,4)

(0,3,4)

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Solution
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Point D has coordinates (3,4,5)

Point E is in line with D, lying on the y-z plane having x coordinate 0, such that line DE is perpendicular to the y-z plane.
Thus, the y and  coordinates of point E remain same as that of D.
The coordinates of point E are therefore (0,4,5)
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