R I (rushec91)

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Verify that lines given by r=(1-λ)i+(λ- 2)j+(3-2λ)k and r=(μ+1)i+(2μ-1)j-(2μ+1)k are skew lines .Hen
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find the shortest distance between the lines r=i+2j+k+λ(i-j+k) and r=2i-j-k+μ(2i+j+2k)
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Show that the lines r ⃗=(i ̂+j ̂-k ̂ )+λ(3i ̂-j ̂) and r ⃗=(4i ̂-k ̂ )+μ(2i ̂+3k ̂).........Q126
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Verify whether 𝑣=(1,−2,5) in 𝑅^3 is Linear Combination of vectors 𝑢1=(1,1,1),𝑢2=(1,2,3) &𝑢3=(2,−1,1)
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Find the shortest distance between the lines given by vector(r) =(8+3λiˆ− (9 +16λ)jˆ + (10 + 7λ…
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Solve √(12r + √(160r² + √(81r⁴))) = 5 → Find r | Mind-Blowing Math Nested radical #satmath

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4. Find the shortest distance between lines r ⃗=(6i ̂+2j ̂+2k ̂ )+λ(i ̂-2j ̂+2k ̂ )
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Consider the lines L1 and L2 defined byL1:x√2+y-1=0" and " L2:x√2-y+1=0 For a #jeeadvanced #pyq
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Q29(A) Find the distance of the point (2, −1,3) from the line 𝑟⃗ = (2𝑖̂− 𝑗̂+ 2𝑘̂) + 𝜇(3𝑖̂+ 6𝑗̂+ 2𝑘
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Find the shortest distance between the given linevec(r )=(hat(i) +2hat(j) +hat(k)) + lambda(hat(...
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25. Let R_i = {x ∈ℝ | 1 ≤x ≤1 + 1/i} = [1, 1 + 1/i] for all pos…
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Find the image A' of the point A(2, 1,2) in the line l: r=4i+2j+2k+λ(i-j-k).Also, find the equation
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