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

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

A. 7/2 i Ģ‚+9/2 j Ģ‚+9/2 k Ģ‚

B. 2i Ģ‚+3j Ģ‚+13/3 k Ģ‚

C. 9/2 i Ģ‚+3/2 j Ģ‚+1/2 k Ģ‚

D. -1/2 i Ģ‚+5/2 j Ģ‚+7/2 k Ģ‚

 

[MCQ Class 12] The position vectors of the vertices P,Q and R - Practice Questions CBSE - Maths Class 12 (2023 Boards)

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The position vectors of the vertices P,Q and R of āˆ†š‘ƒš‘„š‘… are āˆ’š‘– Ģ‚+2š‘— Ģ‚+4š‘˜ Ģ‚, 3š‘– Ģ‚+6š‘— Ģ‚+8š‘˜ Ģ‚ and 4š‘– Ģ‚+š‘— Ģ‚+š‘˜ Ģ‚ respectively. Which of the following is the vector that represents the median (š‘ƒš‘†) āƒ— ? A. 7/2 š‘– Ģ‚+9/2 š‘— Ģ‚+9/2 š‘˜ Ģ‚ B. 2š‘– Ģ‚+3š‘— Ģ‚+13/3 š‘˜ Ģ‚ C. 9/2 š‘– Ģ‚+3/2 š‘— Ģ‚+1/2 š‘˜ Ģ‚ D. āˆ’1/2 š‘– Ģ‚+5/2 š‘— Ģ‚+7/2 š‘˜ Ģ‚

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