
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
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
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, 1 Compute the magnitude of the following vectors: 𝑎 ⃗ = 𝑖 ̂ + 𝑗 ̂ + 𝑘 ̂, 𝑏 ⃗= 2𝑖 ̂ − 7𝑗 ̂ – 3𝑘 ̂, 𝑐 ⃗ = 1/√3 𝑖 ̂ + 1/√3 𝑗 ̂ − 1/√3 𝑘 ̂𝑎 ⃗ = 𝑖 ̂ + 𝑗 ̂ + 𝑘 ̂ = 1𝑖 ̂ + 1𝑗 ̂ + 1𝑘 ̂ Magnitude of 𝑎 ⃗ = √(12+12+12) |𝑎 ⃗ | = √3 ∴ Magnitude of 𝑎 ⃗ = √3 𝑏 ⃗ = 2𝑖 ̂ – 7𝑗 ̂ – 3𝑘 ̂ Magnitude of 𝑏 ⃗ = √(22+(−7)2+(−3)2) |𝑏 ⃗ | = √(4+49+9) = √62 ∴ Magnitude of 𝑏 ⃗ = √62 𝑐 ⃗ = 1/√3 𝑖 ̂ + 1/√3 𝑗 ̂ − 1/√3 𝑘 ̂ Magnitude of 𝑐 ⃗ = √((1/√3)^2+(1/√3)^2+((−1)/√3)^2 ) |𝑐 ⃗ | = √(1/3+1/3+1/3) = √(3/3) = √1 = 1 ∴ Magnitude of 𝑐 ⃗ = 1