In geometry a vector is used to make the equations easier to understand and to figure out. Velocity and force are examples of vectors. For a vector to be coplanar there must be two or more and they must be linearly dependent. Coplanar vectors have proportional components and their rank is 2.
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
Easy, the fourth vector (D) be opposite the sum of the other three non-coplanar vectors (A , B, C). 0=A + B + C + D where D = -(A + B + C).
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
because coplanar is coplanar and collinear is collinear!!
Points that are coplanar are on the same plane.
In a plane, each vector has only one orthogonal vector (well, two, if you count the negative of one of them). Are you sure you don't mean the normal vector which is orthogonal but outside the plane (in fact, orthogonal to the plane itself)?
Easy, the fourth vector (D) be opposite the sum of the other three non-coplanar vectors (A , B, C). 0=A + B + C + D where D = -(A + B + C).
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
because coplanar is coplanar and collinear is collinear!!
Points that are coplanar are on the same plane.
Coplanarity is equivalent to the statement that the pair of lines determined by the four points are not skew, and can be equivalently stated in vector form as
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
coplanar are points that lie on the same plane meanwhile non coplanar are points that don't lie on the same plane.
What is non-coplanar lines?
non-coplanar points
Coplanar means "on the same plane", so we can imagine that non coplanar means "not on the same plane".For example, if you draw a square and point on a piece of paper, the two objects are coplanar. However, if we were to add depth and the objects were a distance apart, they are said to be non coplanar.