Direction of line =n1×n2 where n1=(1,1,3) and n2=(1,−1,2).
n1×n2=(1⋅2−3⋅(−1), 3⋅1−1⋅2, 1⋅(−1)−1⋅1)=(5,1,−2).
For a point: set z=0: x+y=7, x−y=3⇒x=5,y=2.
Line: 5x−5=1y−2=−2z.
The equation of line of intersection of the planes x + y + 3z = 7 and x - y + 2z = 3 is:
CUET UG 2022 — Mathematics Geometry
2022mcqmedium
The equation of line of intersection of the planes x+y+3z=7 and x−y+2z=3 is:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
1x−2=1y−2=3z−1
- B
1x−1=−1y−1=2z−3
- C
−1x=1y−1=−2z−2
- D
5x−5=1y−2=−2z
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