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1:57
Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse
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4 months ago
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Q) Find the shortest distance between the lines:(𝑥+1)/2=(𝑦−1)/1=(𝑧−9)/(−3) " and (𝑥−3)/2=(𝑦+15)
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Q) Find the shortest distance between the lines:(𝑥+1)/2=(𝑦−1)/1=(𝑧−9)/(−3) " and (𝑥−3)/2=(𝑦+15)/(−7
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Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse
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Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry
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Q) 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
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Q) Find the foot of the perpendiculardrawn from the point (1,1,4) of the line (x+2)/5 = (y+1)/2
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Q) Find the point on the line (𝑥−1)/3=(𝑦+1)/2=(𝑧−4)/3 at a distance of 2√2 units from the point
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Q) Find the point on the line (𝑥−1)/3=(𝑦+1)/2=(𝑧−4)/3 at a distance of 2√2 units from the point
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Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.
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Q) Let the position vectors of the points A,B and C be 3i −j −2k , 𝑖 +2𝑗 −𝑘 and 𝑖 +5𝑗 +3𝑘
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Q) Find the image A^′ of the point A(1,6,3) in the line 𝑥/1=(y−1)/2=(z−2)/3. Also, find the
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Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.
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Q) Find the coordinates of the foot of the perpendicular and the length of the perpendicular drawn
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Q) Find the shortest distance between the lines given by(𝑟 =(4𝑖 −𝑗 +2𝑘 )+𝜆(𝑖 +2𝑗 −3𝑘 )
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