a hockey puck slides 36m along the ice straight toward the goal. Suddenly it is hit such that it takes a sharp, instantaneous right turn, and travels 28 meters. How far has the puck traveled? How far is it from wher it started?
The term vector can be used in a variety of ways in science. In epidemiology, the study of disease spread, a vector is an organism that carries the disease from one host to another. So, for example, a mosquito is the vector of the organism that causes malaria. The vector may or may not be affected by the disease causing organism, but the point is that it is a third player in the interaction that includes host, parasite, and vector. Another definition of vector is the representation of a quantity that has magnitude and direction, and can be depicted by an arrow with a certain length (magnitude) and angle (direction). This can be helpful in science when one wants to sum or multiply quantities that have magnitude and direction, and there are rules for doing this that can be found in the field of "vector calculus" or "vector algebra". For example, in the Lotka-Volterra model of predator-prey dynamics, one can deduce outcomes of interactions by using vector algebra, and can determine if the predator and prey can coexist stably or not.
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a vector quantity has both direction (sign) and magnitude like displacement towards right or left (direction) and has a certain value (magnitude)
In science, vectors are quantities that have both magnitude and direction. They are used to represent various physical phenomena, such as force, velocity, and acceleration. For example, a vector can indicate not only how fast an object is moving (magnitude) but also the direction in which it is moving. This makes vectors essential for understanding and analyzing motion and interactions in physics and engineering.
Any physical quantity which has both direction and magnitude is called a vector. A quantity must also obey the 'Triangle law of vector addition' to be called as a vector. For example displacement is a vector, u can say a person moved 5 km (magnitude) along west(direction). But electric current is not a vector, it has magnitude and its direction is from +ve terminal to -ve terminal but it doesn't obey triangle law. Rather currents are added as scalars.
Scalar quantities are physical quantities that are described by their magnitude only, with no direction, such as temperature or speed. Vector quantities are physical quantities that are described by both magnitude and direction, such as velocity or force. An example of how they are alike is that both scalar and vector quantities can be added or subtracted using mathematical operations. An example of how they are different is that vector quantities have direction associated with them, while scalar quantities do not.
analytical method.
Scalar quantities are defined as quantities that have only a mganitude. Vector quantities have magnitude and direction. Some example of this include Scalar Vector Mass Weight length Displacement Speed Velocity Energy Acceleration
No, grams are units of mass, not vector quantities. Vector quantities have both magnitude and direction, such as velocity or force. An example unit for vector quantity would be Newtons for force or meters per second for velocity.
Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction
A measurement is considered a vector if it has both magnitude and direction. For example, velocity and force are vector quantities because they have a specific magnitude and direction associated with them.
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
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Yes, it is a vector quantity.
Not at all. Scalar are numerical quantities without direction (for example time) where as vectors are numerical quantities with direction (for example gravitational force downward)
It is necessary to know the magnitude and the direction of the vector.
Scalar and vector quantities are both used in physics to describe properties of objects. They both have magnitude, which represents the size or amount of the quantity. However, the key difference is that vector quantities also have direction associated with them, while scalar quantities do not.