| 12. Collinear vectors example ( Enter your problem ) ( Enter your problem ) | - Example-1
- Example-2
| Other related methods - Addition/Subtraction of two vectors
- Scalar Multiplication of vectors
- Dot Product of two vectors
- Cross Product of two vectors
- Magnitude(length) of a vector
- Unit vector
- Direction cosines of a vector
- Component form of a vector given two points
- Angle between two vectors
- Vector projections of b onto a
- Orthogonal vectors
- Collinear vectors
- Coplanar vectors
- Scalar triple product
- Vector triple product
- Area of triangle determined by two vectors
- Area of parallelogram determined by two vectors
- Volume of pyramid determined by vectors
- Volume of Parallelepiped determined by vectors
- Decomposition of vector in basis
- Linearly dependent and linearly independent vectors
| | | 11. Orthogonal vectors (Previous method) | 2. Example-2 (Next example) |
1. Example-1 1. Find isCollinear(A,B)`A=(3,4,5)`,`B=(6,8,10)`Solution:Here `vec A=(3,4,5),vec B=(6,8,10)`Two vectors are collinear if relations of their coordinates are equal.`(A_1)/(B_1)=(3)/(6)=1/2``(A_2)/(B_2)=(4)/(8)=1/2``(A_3)/(B_3)=(5)/(10)=1/2`Since `(A_1)/(B_1)=(A_2)/(B_2)=(A_3)/(B_3)`, So vectors are collinear. 2. Find isCollinear(A,B)`A=(3,4)`,`B=(6,8)`Solution:Here `vec A=(3,4),vec B=(6,8)`Two vectors are collinear if relations of their coordinates are equal.`(A_1)/(B_1)=(3)/(6)=0.5``(A_2)/(B_2)=(4)/(8)=0.5`Since `(A_1)/(B_1)=(A_2)/(B_2)`, So vectors are collinear. 3. Find isCollinear(A,B)`A=(3,4,0)`,`B=(2,2,1)`Solution:Here `vec A=(3,4,0),vec B=(2,2,1)`Two vectors `vec A` and `vec B` are collinear if there exists a number n such that `vec B = n * vec A`Find the first nonzero coefficient of vector `vec A``A_1=3``n=B_1/A_1=2/3=0.6667``0.6667 * vec A``=(0.6667*A_1,0.6667*A_2,0.6667*A_3)``=(0.6667*3,0.6667*4,0.6667*0)``=(2,2.6667,0)``!=vec B`Since `vec B != 0.6667 * vec A`, so vectors are not collinear. This material is intended as a summary. Use your textbook for detail explanation.Any bug, improvement, feedback then Submit Here| 11. Orthogonal vectors (Previous method) | 2. Example-2 (Next example) |
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