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Ex 10.2, 7 - Chapter 10 Class 12 Vector Algebra
Last updated at August 19, 2026 by Teachoo
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, 7 Find the unit vector in the direction of the vector 𝑎 ⃗ = 𝑖 ̂ + 𝑗 ̂ + 2𝑘 ̂ 𝑎 ⃗ = 𝑖 ̂ + 𝑗 ̂ + 2𝑘 ̂, = 1𝑖 ̂ + 1𝑗 ̂ + 2𝑘 ̂, Magnitude of 𝑎 ⃗ = √(12+12+22) |𝑎 ⃗ | = √(1+1+4) = √6 Unit vector in direction of 𝑎 ⃗ = 𝟏/|𝒂 ⃗ | . 𝒂 ⃗ 𝑎 ̂ = 1/√6 ["1" 𝑖 ̂" + 1" 𝑗 ̂" + 2" 𝑘 ̂ ] 𝑎 ̂ = 𝟏/√𝟔 𝒊 ̂ + 𝟏/√𝟔 𝒋 ̂ + 𝟐/√𝟔 𝒌 ̂
