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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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.