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 vector of adding two vectors is a displacement vector, not a distance vector. Displacement is a change in position measured from the starting point to the end point, while distance is the total length of the path traveled.
The resultant of two vectors cannot be a scalar quantity.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
The order in which vectors are combined affects the overall displacement because vector addition is not commutative. The resultant vector will be different depending on the direction and magnitude of each individual vector. To find the total displacement, you must consider both the direction and magnitude of each vector in relation to the others.
No, displacement is a vector quantity that measures the change in position of an object from its initial point to its final point, while resultant is a vector that represents the sum or combination of all individual vectors acting on an object.
The resultant vector of adding two vectors is a displacement vector, not a distance vector. Displacement is a change in position measured from the starting point to the end point, while distance is the total length of the path traveled.
The resultant of two vectors cannot be a scalar quantity.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
The order in which vectors are combined affects the overall displacement because vector addition is not commutative. The resultant vector will be different depending on the direction and magnitude of each individual vector. To find the total displacement, you must consider both the direction and magnitude of each vector in relation to the others.
It is certain that two vectors of different magnitudes cannot yield a zero resultant force.
Hence, By Pythagoras therom the resultant vector = ( 222 + 122)1/2 = 25.059cm Direction from 22cm vector = arcsin ( 12/25.059 ) = 28.6160c
Yes.
No, displacement is a vector quantity that measures the change in position of an object from its initial point to its final point, while resultant is a vector that represents the sum or combination of all individual vectors acting on an object.
24 m west. The displacement vectors of 10 m west and 14 m west align in the same direction, so their resultant vector will simply be the sum of the magnitudes, which is 24 m west.
Two displacement vectors of magnitudes are two directed line segments that show the distance and direction between two points, representing a change in position. They can be added or subtracted using the parallelogram rule to find the resultant displacement.
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.