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To merge translations, add them:

(-1 2) + (3 6) = (2 8)

(They should be written vertically.)

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Q: Which vector represents a simplification of these two translations (-12) (36)?
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Vector that shows the combined effect of two or more vector?

Resultant vector or effective vector


Is it possible for vector A plus vector B to equal vector A - vector B?

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).


Can two vectors of unequal magnitude add up to give the zero vector?

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.


What is the product of two vector quantities?

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.


What is meant by a component of 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.

Related questions

What is physical interpretation of vector space?

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.


What represents two dimensional motion?

Two Scalars that go in opposite directionsOne scalar and one vector!


What are two velocity components of projectile motion?

The magnitude of its Velocity (Speed), and its Direction. These are the components of the Arrow (Vector) that represents its MOTION.


Why is Vector resolution the opposite of vector addition?

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.


Vector that shows the combined effect of two or more vector?

Resultant vector or effective vector


What is the sum of two vectors A.addition vector B.distance vector C.resultant vector D.displacement vector?

That is usually called the resultant vector.


The sum of two or more vectors is called a blank 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..


What is simplification propaganda?

Simplification reduces the complex situation to a clear cut choice involving good and evil. This is similar to the 'lesser of two evils' technique.


What The sum of two or more vector is called?

Its called your "Resultant Vector"


The sum of two or more vectors is called a what vector?

A resultant Vector.


Why isn't the sum of two vectors a scalar?

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.


Is it possible for vector A plus vector B to equal vector A - vector B?

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).