JEE Main 2026 · Session 2 · Shift 1 · Mathematics

Question 15

Let a line L passing through the point (1, 1, 1) be perpendicular to both the vectors 2î + 2ĵ + k̂ and î + 2ĵ + 2k̂. If P(a, b, c) is the foot of perpendicular from the origin on the line L, then the value of 34(a + b + c) is:

• A. 50
• B. 80
• C. 100Correct answer
• D. 120

Not yet checked by a person: transcribed from the official question paper and matched against NTA’s official answer key by the question’s own ID on 16 September 2026, never worked out independently. Spotted a mistake? Tell us and we’ll fix it. No explanation is published here yet.