Yes. Any number of vectors, two or more, can result in zero, if their magnitudes
and directions are just right. One vector can result in zero only if its magnitude
is zero.
Two vectors: no. Three vectors: yes.
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.
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Yes.
Two vectors, no; three vectors yes.
Two vectors: no. Three vectors: yes.
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.
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Yes.
Two vectors: no. Three vectors: yes.
Two vectors, no; three vectors yes.
mAYBE
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
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.
When performing the cross product of two vectors (vector A and vector B), one of the properites of the resultant vector C is that it is perpendicular to both vectors A & B. In two dimensional space, this is not possible, because the resultant vector will be perpendicular to the plane that A & B reside in. Using the (i,j,k) unit vector notation, you could add a 0*k to each vector when doing the cross product, and the resultant vector will have zeros for the i & jcomponents, and only have k components.Two vectors define a plane, and their cross product is always a vector along the normal to that plane, so the three vectors cannot lie in a 2D space which is a plane.
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.