Example 11 (i) - Chapter 10 Class 12 Vector Algebra
Last updated at April 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
Example 11 Consider two points P and Q with position vectors (ππ) β = 3π β β 2π β and (ππ) β = π β + π β . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 : 1, (i) internally, and Given (ππ) β = 3π β β 2π β (ππ) β = π β + π β Position vector of R = (π(πΆπΈ) β + π(πΆπ·) β)/(π + π) (ππ ) β = (2(π β + π β ) + 1(3π β β 2π β ))/(2 + 1) = (2π β + 2π β + 3π β β 2π β)/3 = (ππ β)/π Thus, position vector of R dividing P and Q internally is (5π β)/3.
