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Q: What is definition of vector?

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A radius (or radial) vector is a vector which goes through the origin. That is going directly away from (or toward) the origin. A vector that is not radial is a transverse vector

Yes. It results in a force that has a magnitude and a direction, and this is the definition of a force vector.

You don't need to prove much - just look at the definition of a vector. A vector includes a magnitude (in this case the force), and a direction. Since weight (or "the force of gravity") is directed to a certain direction, namely downward, you can consider it a vector.You don't need to prove much - just look at the definition of a vector. A vector includes a magnitude (in this case the force), and a direction. Since weight (or "the force of gravity") is directed to a certain direction, namely downward, you can consider it a vector.You don't need to prove much - just look at the definition of a vector. A vector includes a magnitude (in this case the force), and a direction. Since weight (or "the force of gravity") is directed to a certain direction, namely downward, you can consider it a vector.You don't need to prove much - just look at the definition of a vector. A vector includes a magnitude (in this case the force), and a direction. Since weight (or "the force of gravity") is directed to a certain direction, namely downward, you can consider it a vector.

Momentum is a vector quantity because the definition of momentum is that it is an object's mass multiplied by velocity. Velocity is a vector quantity that has direction and the mass is scalar. When you multiply a vector by a scalar, it will result in a vector quantity.

You might apply the basic definition of "vector versus scalar".

Vectors are often represented by arrows whose length is proportional to the magnitude of the vector. The arrowhead points to the direction the vector is acting. You'll have to decide if such an arrow fits your definition of a line.

It is the direction of the vector representing the force.

It is the direction of the vector representing the force.

Speed is scalar (that is, without direction) and velocity is a vector (speed plus direction) by definition in physics.

That's the definition of its velocity vector.

Yes, that is an acceptable definition.

Because a vector contains information about the direction. A direction, at any particular position is the tangent to the curve and this, by definition, must be straight.

I don't think so - is something has a magnitude and a direction, by definition it is a vector.

Tension is by definition a scalar as it is only the magnitude of a force.

A group of forces whose vector sum is not zero.

Length is a scalar quantity. By definition, a vector quantity has both magnitude (ie. length) and direction. Length does not have direction, so it is not a vector. Length is a scalar quantity. Length is a scalar quantity. yes

The abstraction are the same. However, the array may be of any objects, while a vector, in narrowed definition, each element is a scalar value (e.g, int, float, double, etc), to fulfill the abs(vector) = aScalarValue property of a vector. An array with the same data type would look exactly the same. But an array of Persons will be difficult to be a vector!

A scalar times a vector yields another vector. The new vector has the same direction as the original vector and the new magnitude is equal to the product of the old magnitude and the scalar. (Of course, if the scalar is a negative quantity, we understand that the new vector then points in the opposite direction as the original and the new magnitude is the absolute value of the product of the scalar and the old magnitude.) In mathematics, the product of a scalar and vector is part of the definition of a vector space. In physics, vectors satisfy the mathematical rules of a vector space.

Having a velocity vector equal to 0 (zero) with respect to the frame of reference.

In math and physics, displacement and velocity are examples of vectors. The definition of a vector is that it is quantity that has both direction and magnitude. A vector is represented by an arrow that shows the direction of the quantity and a length which is the magnitude.

It is vector based software similar to Adobe Illustrator,vector based mean that is for drawings primarily but that is not only function of Corel Draw,you can manipulate text and bitmaps(pictures).It is prefect for Designers

An acceleration index is a vector quanity, which is defined as the rate at which a defined object changes its velocity.

A group of forces whose vector sum is not zero.

A group of [two or more] forces is unbalanced if their vector sum is not zero.

A group of "balanced" forces is a group of forces whose vector sum is zero.