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Question
Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ-plane
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Solution
It is known that the equation of the line passing through the points, (x1, y1, z1) and (x2, y2, z2), is
The line passing through the points, (5, 1, 6) and (3, 4, 1), is given by,
Any point on the line is of the form (5 − 2k, 3k + 1, 6 −5k).
The equation of YZ-plane is x = 0
Since the line passes through YZ-plane,
5 − 2k = 0
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