If one vector is a multiple of the other vector than they are collinear).
Let n equal any natural number (1, 2, 3, 4, ...) and vequal a vector with both amagnitudeand a direction.
vn = nv (e.g., v3 = 3v)
Vn will always be collinear to v, because it is just a multiple of v (the multiple being n)
To verify if two vectors are collinear, if you can factor out a multiple, to return to theoriginalvector, than they are collinear.
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collinear means on the same line so they would be collinear if they are on the same line.!
Yes.
The two phrases are equivalent: collinear means in the same line [segment].
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
'Line Segment' is a portion of a line that includes two points and all of the collinear points between the hypothetical two points also 'Line Segment' because a line or line segment is a set of infinite points and the infinite points are collinear....