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

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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