engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Three Dimensional Geometry Skew Lines
If the shortest distance between the lines
\(\rm {L}_1: \vec{{r}}=(2+\lambda) \hat{{i}}+(1-3 \lambda) \hat{{j}}+(3+4 \lambda) \hat{{k}}\), λ ∈ ℝ
\(\rm {L}_2: \vec{{r}}=2(1+\mu) \hat{{i}}+3(1+\mu) \hat{{j}}+(5+\mu) \hat{{k}}\), μ ∈ ℝ
is \(\frac{{m}}{\sqrt{{n}}}\), where gcd(m, n) = 1, then the value of m + n equals.
1
384
2
387
3
377
4
390