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Ex 10.2
Ex 10.2, 2
Ex 10.2, 3 Important
Ex 10.2, 4
Ex 10.2, 5 Important
Ex 10.2, 6
Ex 10.2, 7 Important
Ex 10.2, 8 You are here
Ex 10.2, 9
Ex 10.2, 10 Important
Ex 10.2, 11 Important
Ex 10.2, 12
Ex 10.2, 13 Important
Ex 10.2, 14
Ex 10.2, 15 Important
Ex 10.2, 16
Ex 10.2, 17 Important
Ex 10.2, 18 (MCQ) Important
Ex 10.2, 19 (MCQ) Important
Last updated at May 29, 2023 by Teachoo
Ex 10.2, 8 Find the unit vector in the direction of vector (𝑃𝑄) ⃗ , where P and Q are the points (1, 2, 3) and (4, 5, 6); respectively.P (1, 2, 3) Q (4, 5, 6) (𝑃𝑄) ⃗ = (4 – 1) 𝑖 ̂ + (5 – 2) 𝑗 ̂ + (6 – 3) 𝑘 ̂ = 3𝑖 ̂ + 3𝑗 ̂ + 3𝑘 ̂ ∴ Vector joining P and Q is given by (𝑃𝑄) ⃗ = 3𝑖 ̂ + 3𝑗 ̂ + 3𝑘 ̂ Magnitude of (𝑃𝑄) ⃗ = √(32+32+32) |(𝑃𝑄) ⃗ | = √(9+9+9) = √27 = 3√3 Unit vector in direction of (𝑃𝑄) ⃗ = 1/(𝑚𝑎𝑔𝑛𝑖𝑡𝑢𝑑𝑒 𝑜𝑓 (𝑃𝑄) ⃗ ) ×(𝑃𝑄) ⃗ = 1/(3√3) ["3" i ̂" + 3" j ̂" + 3" k ̂ ] = 3/(3√3) 𝑖 ̂ + 3/(3√3) 𝑗 ̂ + 3/(3√3) 𝑘 ̂ = 𝟏/√𝟑 𝒊 ̂ + 𝟏/√𝟑 𝒋 ̂ + 𝟏/√𝟑 𝒌 ̂ Thus, unit vector in direction of (𝑃𝑄) ⃗ = 1/√3 𝑖 ̂ + 1/√3 𝑗 ̂ + 1/√3 𝑘 ̂