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).
The sum of three vectors will be zero if they can form a closed triangle when arranged tip-to-tail. This means the vectors must have magnitudes and directions that cancel each other out to form a closed loop with no resultant vector.
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!!
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
Points that are coplanar are on the same plane.
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
In equilibrium, coplanar forces must satisfy two conditions: first, the vector sum of all forces in any direction must be zero (ΣF = 0); second, the vector sum of all moments (torques) about any point must be zero (Στ = 0). These conditions ensure that the forces are balanced and there is no rotational motion.