One-dimensional
Wiki User
∙ 13y agoCollinear lines lie on the same straight line.
180 degrees lie on a straight line
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
Not sure about a lie, but such a line is called the diameter.
If you have one straight line, there are an infinite number of planes in which it lies.
The term for vectors that don't lie in a straight line but point in different directions is "non-collinear vectors."
Displacement Vectors
The term for vectors pointing in different directions is called linearly independent vectors. These vectors do not lie on the same line or plane, and they provide unique information to describe a space.
Two-dimensional
Two-dimensional
Non-collinear vectors.
A straight line MUST lie in a plane. A curved line may or may not.
Collinear lines lie on the same straight line.
Collinear lines lie on the same straight line
Two vectors that lie along the same line-apex
Golf
Two vectors which do not lie along the same line represent motion in two different directions. This indicates that an object is moving simultaneously in more than one direction.