The vector equation of a line AB is given by r ⃗=x_1 (1+λ) i ̂+z_1 (1+3λ) k ̂.

The coordinates of A are (x1,x1,z1) and r ⃗ is the position vector of a point (x,y,z) on AB.

(i) What is the equation of this line in cartesian form?

(ii) If A’s coordinates are (-2,5,-3), use the cartesian equation of line to find the coordinates of B.

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The vector equation of a line AB is given by 𝑟 ⃗=𝑥_1 (1+𝜆) 𝑖 ̂+𝑧_1 (1+3𝜆) 𝑘 ̂. The coordinates of A are (𝑥1,𝑥1,𝑧1) and 𝑟 ⃗ is the position vector of a point (𝑥,𝑦,𝑧) on AB. (i) What is the equation of this line in cartesian form? (ii) If A’s coordinates are (−2,5,−3), use the cartesian equation of line to find the coordinates of B.

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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.