Are all vectors concurrent?
In the above image, line of action of all the vector passes through a single point. So they are concurrent vectors. Also note that one of the vector is not in contact with that point actually but its line of action (shown with the dotted line) passes through that point.
What is mean by coplanar vector?
Coplanar vectors are defined as vectors which are lying on the same in a three-dimensional plane. The vectors are parallel to the same plane. It is always easy to find any two random vectors in a plane, which are coplanar.
What is the definition of zero vector?
Definition of zero vector : a vector which is of zero length and all of whose components are zero.
What is a co-initial or concurrent vector?
Two or more vectors having the same magnitude are called co-initial vectors. Two or more vectors are said to be co-initial if they are parallel to the same line irrespective of their magnitudes and directions. C. Two or more vectors having the same initial point are called co-initial vectors.
What is the meaning of concurrent forces?
If the forces applied to a body are such that their lines of action meet at a single point, then they are called concurrent forces. An object is in equilibrium under four concurrent forces in the directions shown in figure.
How do you prove three lines are concurrent vectors?
Method 1 : (i) Solve any two equations of the straight lines and obtain their point of intersection. (ii) Plug the co-ordinates of the point of intersection in the third equation. (iv) If it is satisfied, the point lies on the third line and so the three straight lines are concurrent.
What do you mean by coplanar?
Definition of coplanar : lying or acting in the same plane.
Are coplanar and collinear the same?
Collinear points lie on a single straight line. Coplanar points lie on a single plane.
What is a equal vector?
Equal vectors are defined as two vectors having same magnitude and direction. They may or may not have same initial point. So if the initial point is same then they will also equal vector if both vectors satisfying condition of equal vector.
What is triangle law of vector addition?
Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude, and direction taken in same order then third side of that triangle represents(in magnitude and direction) the resultant of the vectors.
What are the co initial vectors?
A vector is said to be co-initial vectors when two or more vectors have the same starting point, for example, Vectors AB and AC are called co-initial vectors because they have the same starting point A.
What is the meaning of co initial?
coinitial (not comparable) (mathematics, of a subset) Having an element b for each element a in the superset such that b is less than or equal to a.