Anuj and Tara are flying kites from their rooftops. Anuj’s kite’s string is represented by a straight line, given by  (x-4)/1=(y-2)/3=(z-1)/2. Tara‘s position is at (2i ̂-2j ̂+k ̂ ), and her kite’s string is perpendicular to Anuj’s .

Find out how far Tara is from where the kite strings intersect. Show your work.

 

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Transcript

Anuj and Tara are flying kites from their rooftops. Anuj’s kite’s string is represented by a straight line, given by (𝑥−4)/1=(𝑦−2)/3=(𝑧−1)/2. Tara‘s position is at (2𝑖 ̂−2𝑗 ̂+𝑘 ̂ ), and her kite’s string is perpendicular to Anuj’s . Find out how far Tara is from where the kite strings intersect. Show your work.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.