Practice Questions CBSE - Maths Class 12 (2023 Boards)

CBSE Class 12 Sample Paper for 2022 Boards (For Term 2) →
Maths Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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 August 14, 2026 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.

[Maths Class 12] The vector equation of a line AB is given by r = x1 - Practice Questions CBSE - Maths Class 12 (2023 Boards)

part 2 - Question 25 - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

Remove Ads
Teachoo · Class 12 Explore Class 12

Transcript

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.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.