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

The sum of two vectors is called the resultant vector. It is the vector obtained when adding two or more vectors together. The displacement vector is a specific type of vector that represents the change in position of an object.


What is the resultant of two vector quantities?

The resultant of two vector quantities is a single vector that represents the combined effect of the individual vectors. It is found by adding the two vectors together using vector addition, taking into account both the magnitude and direction of each vector.


Which operation gives a resultant vector?

adding two or more vectors


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

The sum of two or more vectors is called the resultant vector. It represents the combination of all individual vectors acting together.


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 does the addition of 2 vectors give you?

Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.


What represents two dimensional motion?

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


How is a resultant drawn on a vector diagram?

A resultant on a vector diagram is drawn by connecting the tail of the first vector to the head of the second vector. Then, the resultant vector is drawn from the tail of the first vector to the head of the second vector. The resultant vector represents the sum or difference of the two original vectors.


What operation gives s resultant vector?

Vector addition is the operation that gives a resultant vector when two or more vectors are added together. The resultant vector represents the combination of the individual vectors' magnitudes and directions.


Is a vector sum called the resultant.?

Yes, the vector sum is called the resultant. The resultant is the single vector that represents the combined effect of two or more vectors. It is equal to the vector sum of the individual vectors.


What is the resultant vector?

The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.


What is The sum of two or more vectors is called a .?

A resultant Vector.