Question 24 (Choice 1) - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 2, 2026 by Teachoo

The position vectors of the points P,Q and R are p ̂,q ̂ and r ̂ respectively.

A vector v ⃗=k(q ̂+r ̂ ) is such that p ̂.v ⃗=q ̂.v ⃗, where k is a scalar.

Prove that (p ̂-r ̂ ). (p ̂-q ̂ )=0.

[Class 12] The position vectors of the points P, Q and R ^p,^q and ^r - Practice Questions CBSE - Maths Class 12 (2023 Boards)

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Transcript

The position vectors of the points P,Q and R are 𝑝 ̂,𝑞 ̂ 𝑎𝑛𝑑 𝑟 ̂ respectively. A vector 𝑣 ⃗=𝑘(𝑞 ̂+𝑟 ̂ ) is such that 𝑝 ̂.𝑣 ⃗=𝑞 ̂.𝑣 ⃗, where k is a scalar. Prove that (𝑝 ̂−𝑟 ̂ ). (𝑝 ̂−𝑞 ̂ )=0.

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