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Ex 10.3, 18 (MCQ) - Chapter 10 Class 12 Vector Algebra
Last updated at December 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 š ā is a nonzero vector of magnitude āaā & Ī» a nonzero scalar, then Ī»š ā is unit vector if (A) Ī» = 1 (B) Ī» = ā 1 (C) a = |Ī»| (D) a = 1/|"Ī»" | Given, magnitude of vector š ā is āaā So, |š ā | = a For a non zero scalar āĪ»ā Ī»š ā is a unit vector Magnitude of Ī»š ā is 1 So, |"Ī»" š ā | = 1 |"Ī»" ||š ā | = 1 |"Ī»" | š = 1 š = 1/|"Ī»" | Hence, D is the correct answer.
