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Ex 10.3, 18 - Chapter 10 Class 12 Vector Algebra (Term 2)
Last updated at Aug. 11, 2021 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 π β is a nonzero vector of magnitude βaβ & Ξ» a nonzero scalar, then Ξ»π β is unit vector if (A) Ξ» = 1 (B) Ξ» = β 1 (C) a = |Ξ»| (D) a = 1/|"Ξ»" | Given, magnitude of vector π β is βaβ So, |π β | = a For a non zero scalar βΞ»β Ξ»π β is a unit vector Magnitude of Ξ»π β is 1 So, |"Ξ»" π β | = 1 |"Ξ»" ||π β | = 1 |"Ξ»" | π = 1 π = 1/|"Ξ»" | Hence, D is the correct answer.
