Misc 2 - Chapter 10 Class 12 Vector Algebra

Transcript

Misc 2 (Introduction) Find the scalar components and magnitude of the vector joining the points P(x1, y1, z1) and Q(x2, y2, z2). Let a vector 𝑎 ⃗ = 2𝑖 ̂ – 5𝑗 ̂ + 4𝑘 ̂ Then, Scalar components = 2, –5 and 4 Vector components = 2𝑖 ̂, –5𝑗 ̂ and 4𝑘 ̂ Misc 2 Find the scalar components and magnitude of the vector joining the points P(x1, y1, z1) and Q(x2, y2, z2).Given P(x1, y1, z1) Q(x2, y2, z2) (𝑷𝑸) ⃗ = (𝑥2 – 𝑥1) 𝑖 ̂ + (𝑦2 – 𝑦1) 𝑗 ̂ + (𝑧2 – 𝑧1) 𝑘 ̂ Scalar components = (𝒙2 – 𝒙1) , (𝒚2 – 𝒚1) , (𝒛2 – 𝒛1) Magnitude of (𝑃𝑄) ⃗ = √("(" 𝒙"2 – " 𝒙"1)2 + (" 𝒚"2 – " 𝒚"1)2 + (" 𝒛"2 – " 𝒛𝟏)𝟐)