There are a number of related meanings, for example, - to alter the direction of an aircraft by using the thrust of the engine. The course or compass direction of an aircraft. In Biology, an organism, especially an insect, that carries a disease producing microorganism from one host to another.
To show the correct direction of a vector, you need to specify the reference point or origin from which the vector is being measured, and also indicate the angle or orientation at which the vector is pointing relative to that reference point. This information can be represented using coordinate axes, angles, or directional headings.
Vector quantities have both magnitude and direction, such as velocity and force. Scalar quantities have only magnitude and no specific direction, such as speed and temperature.
Yes. It results in a force that has a magnitude and a direction, and this is the definition of a force vector.
The cross product gives a perpendicular vector because it is calculated by finding a vector that is perpendicular to both of the original vectors being multiplied. This property is a result of the mathematical definition of the cross product operation.
Yes, that is correct. The components of a vector, which represent its magnitude and direction in a particular coordinate system, are independent of the choice of coordinate system used to express the vector. This property is a fundamental characteristic of vectors in mathematics and physics.
A vector is a quantity with both a direction and magnitude
It depends on the vector!
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
It is the direction of the vector representing the force.
The correct spelling is "definition."
That's the definition of its velocity vector.
Yes, that is an acceptable definition.
Yup u are correct
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.
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.
hedivergence of a vector fieldF= (F(x,y),G(x,y)) with continuous partial derivatives is defined by:
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.