A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
Yes.
Two vectors: no. Three vectors: yes.
Two vectors, no; three vectors yes.
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
Yes.
Two vectors: no. Three vectors: yes.
Two vectors: no. Three vectors: yes.
Two vectors, no; three vectors yes.
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
mAYBE
If the sum of their components in any two orthogonal directions is zero, the resultant is zero. Alternatively, show that the resultant of any two vectors has the same magnitude but opposite direction to the third.
yes the resultant of the two vectors can be zero.it can be illustrated by drawing following diagram.a triangle may be considered as a vector diagram in which the force polygon close and the resultant of the three vectors is zero.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
The orientation of the three vectors that sum to zero must be coplanar, contained in the same common plane, including being contained in a common line in a plane.
Not necessarily. Suppose you have three vectors (ax + by + cz), (gx + hy +iz) and (mx + ny + oz) then as long as a+g+m = b+h+n = c+i+o = 0 the resultant is zero.