Consider the following 3 lines in space Then

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Consider the following 3 lines in space L1:r=3i−j+2k+λ(2i+4j−k)L_1: r = 3i - j + 2k + \lambda(2i + 4j - k) L2:r=i+j−3k+μ(4i+2j+4k)L_2: r = i + j - 3k + \mu(4i + 2j + 4k) L3:r=3i+2j−2k+t(2i+j+2k)L_3: r = 3i + 2j - 2k + t(2i + j + 2k) Then, which one of the following pair(s) is/are in the same plane ? (1) Only L1L2L_1 L_2 (2) Only L2L3L_2 L_3 (3) Only L3L1L_3 L_1 (4) L1L2L_1 L_2 and L2L3L_2 L_3

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