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Ex 10.2, 6 - Chapter 10 Class 12 Vector Algebra
Last updated at Dec. 16, 2024 by Teachoo
Addition(resultant) of vectors
Chapter 10 Class 12 Vector Algebra
Concept wise
- Scalar or vector
- Graphical displacement
- Type of vector
- Multiplication of a vector by a scalar
- Equal vectors
- Unit vector
- Direction cosines and ratios
-
Addition(resultant) of vectors
- Joining two points
- Section formula
- Right Angled triangle
- Collinearity Of two vectors
- Collinearity of 3 points or 3 position vectors
- Scalar product - Defination
- Scalar product - Projection
- Scalar product - Solving
- Vector product - Defination
- Vector product - Area
- Vector product - Solving
Transcript
Ex 10.2, 6 Find the sum of the vectors 𝑎 ⃗ = 𝑖 ̂ − 2𝑗 ̂ + 𝑘 ̂, 𝑏 ⃗ = −2𝑖 ̂ + 4𝑗 ̂ + 5𝑘 and 𝑐 ⃗ = 𝑖 ̂ – 6𝑗 ̂ − 7𝑘 ̂. 𝑎 ⃗ = 𝑖 ̂ − 2𝑗 ̂ + 𝑘 ̂, 𝑏 ⃗ = −2𝑖 ̂ + 4𝑗 ̂ + 5𝑘 𝑐 ⃗ = 𝑖 ̂ – 6𝑗 ̂ − 7𝑘 ̂. Now, (𝑎 ⃗ + 𝑏 ⃗ + 𝑐 ⃗) = (1 – 2 + 1) 𝑖 ̂ + (-2 + 4 – 6) 𝑗 ̂ + (1 + 5 – 7) 𝑘 ̂ = 0𝑖 ̂ – 4𝑗 ̂ – 𝑘 ̂ = – 4𝑗 ̂ – 𝑘 ̂ ∴ Sum of vectors 𝑎 ⃗ , 𝑏 ⃗ and 𝑐 ⃗ = – 4𝒋 ̂ – 𝒌 ̂
