Pls answer q20

Pls answer q20 Perpendicular to Z-axis 4 20. Angle between lines r = (i + 2 j — k) (3i - —t)(4i — and r —(1 (D) The straight line 3 (A) Parallel to X-axis (B) Parallel to Y-axis allel to Z-axis -5 is 12 - 4k) lite Consic The ul (B) line lines 18 (C) cos¯ 21. If lines (B) 2 .v-2 2k 6 2 and (D) 3k then k is equal to (A) 7 10 perpendicular to each other, The 7 (B) 5 10 (D 22. A line with direction cosines proportional to 2, l, 2 meets each of the lines x = y + a : and x a 2y 22. The co-ordinates Of each Of the points or intersection are given by (A) (2a,a, 3a), (2a, a, a) (C) (3a,2a, (D) (30, 30, 3a), (a, a, a) The land

Dear Student,
Please find below the solution to the asked query:

We haver=i^+2j^-k^+λ3i^-4k^Hence direction of this line isl1=3i^-4k^r=1-t4i^-j^+t2i^+j^-3k^=4i^-j^-t4i^-j^+t2i^+j^-3k^=4i^-j^+t2i^+j^-3k^-4i^+j^r=4i^-j^+t-2i^+2j^-3k^Hence direction of this line isl2=-2i^+2j^-3k^Required angle is θ=cos-1l1.l2l1l2=cos-13i^-4k^.-2i^+2j^-3k^32+-42-22+22+-32=cos-1-6+129+164+4+9=cos-16517 Answer

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