Ex 10.2, 5 - Chapter 10 Class 12 Vector Algebra

Transcript

Ex 10.2, 5 (Introduction) Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (– 5, 7). Let vector 𝑎 ⃗ = 2𝑖 ̂ – 5𝑗 ̂ + 4𝑘 ̂ Then, Scalar components = 2, –5 and 4 Vector components = 2𝑖 ̂, –5𝑗 ̂ and 4𝑘 ̂ Ex 10.2, 5 Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7). Let Initial point = A (2, 1) Terminal point = B (–5, 7) (𝐴𝐵) ⃗ = (−5 − 2) 𝑖 ̂ + (7 − 1)𝑗 ̂ = –7𝑖 ̂ + 6𝑗 ̂ Scalar components = −7, 6 Vector components = −7𝒊 ̂ , 6𝒋 ̂