When vectors are added together, the result is still a vector.
Here's a way of looking at it: Person A (vector A) walks one mile north, and Person B (vector B) walks two miles east. If a different person, Person C (vector C, the result of adding vectors A and B) did both, Person C would walk one mile north then two miles east. Since the shortest distance between two points if a line, you can draw a path from where you started to where you ended up after both vectors.
If you drew these three vectors (one unit up, two units right, and the resulting vector), with one original vector's end point at the other vector's start point, and a third vector leading from the start point of the first to the end point of the second, you should see a triangle.
This can also be applied to the addition of more than two vectors.
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.
Vectors have direction. Scalars don't.
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
No, the sum of two vectors cannot be a scalar.
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.
No, scalar can be added together directly, whereas vectors can only add their separate components together.
It is neither a scalar or a vector? Scalar and vectors are used to describe quantities, for example scalars include distance and mass, while vectors include weight and velocity. We do not say that a situation is a scalar or a 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.
The product of scalar and vector quantity is scalar.
Vectors have direction. Scalars don't.
A definition of work W: W = ⌠F∙dsWhere F is a force vector that is dot-multiplying (scalar product) the differentialdisplacement vector dS. The result is the work W, a scalar, done by the force thatproduced the displacement. But notice that the scalar product of both vectors willonly consider the force component that is collinear with the displacement vector.
resultant vector is a vector which will have the same effect as the sum of all the component vectors taken together.
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
1000000 is a number and therefore it is a scalar. A scalar cannot be represented as a vector.
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
no!!!only scalars and scalars and only vectors and vectors can be added.