Practice Questions CBSE - Maths Class 12 (2023 Boards)

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Question 25 - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

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 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