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Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
Can the resultant of two vectors be 0 how is it possible for two vectors always?
If they are equal in magnitude but act in opposite directions.
Why the product of two vectors is sometime scalar and sometime 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.
Is it possible there is a vector space consisting of exactly two distinct vectors?
No, a vector space cannot consist of exactly two distinct vectors. A vector space must include the zero vector and be closed under vector addition and scalar multiplication. If there are only two distinct vectors, one must be the zero vector, and the other must be a scalar multiple of it, which contradicts the requirement for distinct vectors. Thus, a vector space must contain infinitely many vectors.
What are the properties Of basis?
The properties of a basis in a vector space include linear independence, spanning, and the ability to uniquely express any vector in the space as a linear combination of the basis vectors. A basis must consist of a set of vectors that are linearly independent, meaning none of the vectors can be written as a combination of the others. Additionally, the basis must span the vector space, ensuring that every vector in the space can be represented using the basis vectors. Lastly, the number of vectors in a basis is equal to the dimension of the vector space.
When vectors are added or subtracted what is the net force called?
The sum of vectors is not always a force. It might be a displacement, a velocity, acceleration, momentum, divergence, curl, gradient, etc. In any case, the algebraic combination of several individual vectors is the "resultant".
Compound subjects always consist of two simple subjects?
Not always
What is the relationship between force vectors and free body diagrams?
E=mc^2 to the negative 100. bottomline is force vectors are free body diagrams always sometimes
Is the endpoint of a ray always the second of two letters used to name the ray?
True when the rays represent vectors. Not always true otherwise. This is partly because with vectors ab is not the same as ba whereas with ordinary lines such a distinction is not important. False
What are vectors and what are the 2 properties of them?
Vectors are quantities that have a value as well as a direction.Vector addition is commutative: x + y = y + xThe value of the sum of two vectors is always less than or equal to the sum of their individual values.|x + y| ≤ |x| + |y|
Can be magnitude of a vector have negative value?
Vectors have magnitude and direction. The magnitude is always a positive number.
What is the difference between coplanar vectors and collinear vectors?
Coplanar vectors lie within the same plane, meaning they can be represented by arrows with their tails at the same point. Collinear vectors, on the other hand, lie along the same line, meaning they have the same or opposite directions. In essence, coplanar vectors can be parallel or intersecting within the same plane, while collinear vectors are always parallel or antiparallel along the same line.
