Collinear Vectors Calculator

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Home > Matrix & Vector calculators > Collinear vectors calculator

Definition and examples

Vector Operation Addition, Subtraction Scalar Multiplication Dot Product Cross Product Magnitude(length) Unit Direction Cosines Component form of a vector Angle between two vectors Projections of B onto A is Orthogonal is Collinear is Coplanar Scalar Triple Product Vector Triple Product Area of Triangle Area of Parallelogram Volume of Pyramid Volume of Parallelepiped Decomposition of vector is Linearly Dependant

Collinear vectors

Type your data, for seperator you can use space or tab

Number of Vectors :

Click On Generate

Find :

isCollinear(A,B)
isCollinear(B,A)

`(3,4), (6,8)`
`(0,2), (0,4)`
`(3,4,5), (6,8,10)`
`(3,4,0), (2,2,1)`

Mode = Decimal Fraction

Decimal Place = 0 1 2 3 4 5 6 7 8 9 10

SolutionHelp

Solution

Solution provided by AtoZmath.com

Collinear vectors calculator

1. `(3,4), (6,8)`

2. `(0,2), (0,4)`

3. `(3,4,5), (6,8,10)`

4. `(3,4,0), (2,2,1)`

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.