Practice Questions CBSE - Maths Class 12 (2023 Boards)

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

Last updated at Dec. 13, 2024 by

The position vectors of the vertices P,Q and R of ∆PQR are -i ̂+2j ̂+4k ̂,  3i ̂+6j ̂+8k ̂ and 4i ̂+j ̂+k ̂   respectively.

Which of the following is the vector that represents the median (PS) ?

A. 7/2 i ̂+9/2 j ̂+9/2 k ̂

B. 2i ̂+3j ̂+13/3 k ̂

C. 9/2 i ̂+3/2 j ̂+1/2 k ̂

D. -1/2 i ̂+5/2 j ̂+7/2 k ̂

 

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Transcript

The position vectors of the vertices P,Q and R of ∆𝑃𝑄𝑅 are −𝑖 ̂+2𝑗 ̂+4𝑘 ̂, 3𝑖 ̂+6𝑗 ̂+8𝑘 ̂ and 4𝑖 ̂+𝑗 ̂+𝑘 ̂ respectively. Which of the following is the vector that represents the median (𝑃𝑆) ⃗ ? A. 7/2 𝑖 ̂+9/2 𝑗 ̂+9/2 𝑘 ̂ B. 2𝑖 ̂+3𝑗 ̂+13/3 𝑘 ̂ C. 9/2 𝑖 ̂+3/2 𝑗 ̂+1/2 𝑘 ̂ D. −1/2 𝑖 ̂+5/2 𝑗 ̂+7/2 𝑘 ̂

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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