Question

pomm
. Find the equation of the line drawn through point (1,0,2) to meet the line
x+1/3=y‐2/-2=z+1/-1
at right angles.
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Answer 1

Step-by-step explanation:

Given line is Let P ≡ (1, 0, 2) Co-ordinates of any point on line (1) may be taken as Q ≡ (3r – 1, – 2r + 2, – r – 1) Direction ratios of PQ are 3r – 2, – 2r + 2, – r – 3 Direction ratios of line AB are 3, – 2, – 1 Since PQ ⊥ AB ∴ 3 (3r – 2) – 2 (– 2r + 2) – 1 (– r – 3) = 0 ⇒ 9r – 6 + 4r – 4 + r + 3 = 0 ⇒ 14r = 7 => r = 1/2 Therefore, direction ratios of PQ are Read more on Sarthaks.com - https://www.sarthaks.com/315756/find-the-equation-of-the-line-drawn-through-point-1-0-2-to-meet-at-right-angles-the-line-x-1-3-y-2

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