To merge translations, add them:
(-1 2) + (3 6) = (2 8)
(They should be written vertically.)
Resultant vector or effective vector
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
A component of a vector can be thought of as an "effectiveness" of that vector in a given direction. It's actually a "piece" or "part" of the vector. A vector is a geometric object with the two characteristics of direction and magnitude. It is when we plot these in a coordinate system that we see the components appear. If we draw a graph with the standard x and y coordinates handed down to us from Descartes, we can more easily see the components. On the graph, draw a vector from the origin (0,0) to the point (5,5). We set the origin as the point of initiation of the vector, and the "little arrow" on the "head" or terminus of the vector is at (5,5). But that vector represents the sum of two other vectors. One is the vector from the origin that runs along the x-axis to (5,0) and the other is the vector that runs from the origin along the y-axis to (0,5). As stated, the sum of these other two vectors makes the original vector we drew. And each of these vectors, the x and y vectors we drew, is a component of the vector we are inspecting. The components of vectors can be expanded into a multitude of dimensions, and will be dependent on the system we use to plot them. Wikipedia has some additional information, and a link is provided.
A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents the magnitude.
Two Scalars that go in opposite directionsOne scalar and one vector!
The magnitude of its Velocity (Speed), and its Direction. These are the components of the Arrow (Vector) that represents its MOTION.
Vector addition derives a new vector from two or more vectors, and vector resolution is breaking a vector down into its two or more components.
Resultant vector or effective vector
That is usually called the resultant vector.
The two vectors are P & Q..Sum of the two vecotors is P+Q=R..R Is called the resultant vector of this two vector..the action of the resultant vector R is equal to the actions of two vectors P & Q..
Simplification reduces the complex situation to a clear cut choice involving good and evil. This is similar to the 'lesser of two evils' technique.
Its called your "Resultant Vector"
A resultant Vector.
A vector has direction, where as a scalar does not. When you add two vectors, it is like you are moving one vector to the end of the other vector, and closing off the triangle with a vector for the third side. That third vector is the addition of the first two vectors. The new vector points in a specific direction, so it cannot be a scalar.
It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).