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Definition and examples
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Vector Algebra
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Vector Operation
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Collinear vectors calculator |
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- `(3,4), (6,8)`
- `(0,2), (0,4)`
- `(3,4,5), (6,8,10)`
- `(3,4,0), (2,2,1)`
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Solution
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Solution provided by AtoZmath.com
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Collinear vectors calculator
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1. `(3,4), (6,8)` 2. `(0,2), (0,4)` 3. `(3,4,5), (6,8,10)` 4. `(3,4,0), (2,2,1)`
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Example1. 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.
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