Question
Download Solution PDFWhat are the direction ratios of the line of intersection of the planes x = 3z + 4 and y = 2z - 3?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The equation of a line with direction ratio (a, b, c) that passes through the point (x1, y1, z1) is given by the formula:
If two planes intersect each other, the intersection will always be a line.
Calculation:
Given:
x = 3z + 4 and y = 2z - 3
⇒ x - 4 = 3z and y + 3 = 2z
If two planes intersect each other, the intersection will always be a line.
Now, direction ratios of the line are ⟨3, 2, 1⟩
Last updated on Jun 20, 2025
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