Slide15.JPG

Slide16.JPG

Go Ad-free

Transcript

Ex 11.2, 6 Find the Cartesian equation of the line which passes through the point (– 2, 4, – 5) and parallel to the line given by (𝑥 + 3)/3 = (𝑦 − 4)/5 = (𝑧 + 8)/6. Equation of a line passing through (x1, y1, z1) and parallel to a line having direction ratios a, b, c is (𝑥 − 𝑥1)/𝑎 = (𝑦 − 𝑦1)/𝑏 = (𝑧 − 𝑧1)/𝑐 Since the line passes through (−2, 4, −5) 𝒙𝟏 = −2, y1 = 4, z1 = −5 Since the line is parallel to (𝑥 + 3)/3 = (𝑦 − 4)/5 = (𝑧 + 8)/6 𝒂 = 3, b = 5, c = 6 Therefore, Equation of line in Cartesian form is (𝑥 − (−2))/3 = (𝑦 − 4)/5 = (𝑧 − (−5))/6 (𝒙 + 𝟐)/𝟑 = (𝒚 − 𝟒)/𝟓 = (𝒛 + 𝟓)/𝟔

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo