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A vector always consists of a direction and magnitude. For example, a vector representing the weight of an object that is 35N would be represented as an arrow pointing downward with a magnitude of 35N. You could also represent the weight of 35N as -35N, in which the negative symbol indicates a downward force.

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Is a scalar a component of a vector?

Answer: A vector is always the product of 2 scalars


Can a vector have a zero magnitude if all of its components are zero?

If all the components of a vector are zero, the magnitude of the vector will always be zero.


Can the magnitude of a vector have a negative value?

The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.


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.


How do you find the vector sum and vector difference of the two vector quantities?

Element by element. That is: Sum all the first elements to get the first element of the result; Sum all the second elements to get the second element of the result...The vector sum is obtained by adding the two quantities. The vector difference is obtained by subtracting one from the other. Hint: 'sum' always means addition is involved, 'difference' always means subtraction is involved.* * * * *That is the algebraic answer. There is also a geometric answer.To sum vectors a and b, draw vector a. From the tip of vector a, draw vector b. Then a + b is the vector from the base of a to the tip of b. To calculate a - b, instead of drawing b,draw the vector -b, which is a vector of the same magnitude as b but going in the opposite direction.

Related Questions

Is a scalar a component of a vector?

Answer: A vector is always the product of 2 scalars


Is a force scalar or vector?

It's a vector, and I believe it always points upward.


Can a vector have a zero magnitude if all of its components are zero?

If all the components of a vector are zero, the magnitude of the vector will always be zero.


Vector component greater than the vectors magnitude?

can a vector have a component greater than the vector magnitude


Can the magnitude of a vector has negative value?

can a magnitude of a vector has negative value?


What is vector graphic?

Vector graphics are created in graphics packages and consist of shapes called objects.It is possible to edit each object separately, for example, change the shape, colour, size and position.


Can the magnitude of a vector have a negative value?

The magnitude of a vector is always treated as non negative and the minus sign indicates the reversal of that vector through an angle of 180 degree.


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.


Compound subjects always consist of two simple subjects?

Not always


What do vectors always consist of?

a magnitude and a direction.


Is possession of magnitude and direction sufficient for calling a quantity a vector explain?

No, possession of magnitude and direction alone is not always sufficient for calling a quantity a vector. A vector must also obey the rules of vector addition and scalar multiplication to be considered a true vector in physics and mathematics.


What is augmented vector?

An augmented vector is a vector that is augmented with an extra dimension. This new dimension always takes on the value of 1. e.g. X = (5, 2) X' = (5, 2, 1) where X' is the augmented form of vector X.