Direction vectors d1=(1,−1,1), d2=(−1,1,−1)=−d1, so lines are parallel (B). Vector joining points: (1,−3,−4). Cross product with d1 gives (−7,−5,2) with magnitude 78. Distance = 78/3=26 (D).
The two lines given by = ( i + 2 j + 3 k) + μ( i - j + k) and = (2 i - j - k) + μ(- i + j - k) A. are perpendicular B. are parallel. C. have shortest…
CUET UG 2022 — Mathematics Geometry
2022mcqhard
The two lines given by r=(i^+2j^+3k^)+μ(i^−j^+k^) and r=(2i^−j^−k^)+μ(−i^+j^−k^)
A. are perpendicular
B. are parallel.
C. have shortest distance 0.
D. have shortest distance 26.
E. have shortest distance 78.
Which of the above statements are true?
Choose the correct answer from the options given below:
Official previous-year question
Held on 16 Jul 2022 · Verified 13 Jul 2026.
Options
- A
A and D only
- B
B and D only
- C
B and C only
- D
B and E only
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