Assuming your talking about simple math of vectors, each vector is made up of components in different directions and magnitudes.
Vector=V=ui+vj+wk
Where i is the unit vector in the x direction, v is in the y direction, and k is in the z direction. u,v,w are the components each of these directions.
If North is in the y direction and East is in the x direction, then a person traveling at 50 mi/h in the Northeast direction would have a Velocity in both i and j direction
V=ui+vj
Where 50mi/h=25*sqrt(25)i+25*sqrt(25)j
V=sqrt{[25*sqrt(25)i]^2+[25*sqrt(25)j]^2}=50
All of this said, you simply add the components of the two vectors together, i's plus i's and j's plus j's.
The resultant displacement would be the same no matter the order in which the vectors are added.
Vector addition is commutative.
No. A + B + C= C + A + B.
The resultant of two vectors cannot be a scalar quantity.
Two vectors: no. Three vectors: yes.
No.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
Thee direction of the two vectors.
The resultant of two vectors cannot be a scalar quantity.
Hence, By Pythagoras therom the resultant vector = ( 222 + 122)1/2 = 25.059cm Direction from 22cm vector = arcsin ( 12/25.059 ) = 28.6160c
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
Yes.
Two vectors: no. Three vectors: yes.
No.
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
Two vectors: no. Three vectors: yes.
Displacement vectors of 10m west and 14m west make a resultant vector that is
Two vectors, no; three vectors yes.
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
mAYBE