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Last updated at May 29, 2018 by Teachoo
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Ex 10.2, 16 Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, –2). P(2,3,4) , Q(4, 1, −2) Let the midpoint of PQ be R. Position vector of P = (2 − 0) 𝑖 + (3 − 0) 𝑗 + (4 − 0) 𝑘 𝑂𝑃 = 2 𝑖 + 3 𝑗 + 4 𝑘 Position vector of Q = (4 − 0) 𝑖 + (1 − 0) 𝑗 + (−2 − 0) 𝑘 𝑂𝑄 = 4 𝑖 + 1 𝑗 − 2 𝑘 Position vector of R = 𝑶𝑸 + 𝑶𝑷𝟐 𝑂𝑅 = 4 𝑖 + 1 𝑗 − 2 𝑘 + (2 𝑖 + 3 𝑗 + 4 𝑘)2 𝑂𝑅 = 4 + 2 𝑖 + 1 + 3 𝑗 + (−2 + 4) 𝑘2 𝑂𝑅 = 6 𝑖 + 4 𝑗 + 2 𝑘2 𝑂𝑅 = 2(3 𝑖 + 2 𝑗 + 𝑘)2 𝑂𝑅 = 𝟑 𝒊+𝟐 𝒋+ 𝒌 Therefore, position vector of midpoint of PQ is 3 𝑖 + 2 𝑗 + 𝑘
Ex 10.2
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Ex 10.2, 16 You are here
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