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Ex 10.3, 18 (MCQ) - Chapter 10 Class 12 Vector Algebra
Last updated at Dec. 16, 2024 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 10.3, 18 If 𝑎 ⃗ is a nonzero vector of magnitude ‘a’ & λ a nonzero scalar, then λ𝑎 ⃗ is unit vector if (A) λ = 1 (B) λ = – 1 (C) a = |λ| (D) a = 1/|"λ" | Given, magnitude of vector 𝑎 ⃗ is ‘a’ So, |𝑎 ⃗ | = a For a non zero scalar ‘λ’ λ𝑎 ⃗ is a unit vector Magnitude of λ𝑎 ⃗ is 1 So, |"λ" 𝒂 ⃗ | = 1 |"λ" ||𝑎 ⃗ | = 1 |"λ" | 𝑎 = 1 𝑎 = 1/|"λ" | Hence, D is the correct answer.
