Vector addition diagrams cannot be used to determine the resultant when there is a vector subtraction operation.Ī.If vectors A and B are added at right angles to each other, then one can be sure that the resultant will have a magnitude that is less than the arithmetic sum of the magnitudes of A and B.If vectors A and B are added at right angles to each other, then one can be sure that the resultant will have a magnitude that is greater than the magnitudes of either one of the individual vectors A and B.The resultant in a vector addition diagram always extends from the head of the last vector to the tail of the first vector.When constructing a vector diagram for A + B + C, it is not absolutely necessary that vectors B and C use the same scale that is used by vector A.If the order in which they are added is reversed to C + B + A, then the result would be a vector with the same magnitude but the opposite direction. Vectors A, B, and C are added together as A + B + C.If the order in which they are added is changed to C + B + A, then the result would be different. Which of the following statements are true of vector addition, vector subtraction, and vector addition diagrams? List all that apply. One must be careful in assuming that a "+" or "-" sign is a sure sign of a quantity being a direction for other non-vector quantities can use such signs as well (as is the case in h). In the case of g, the units indicate an acceleration quantity. Since mathematical computations on calculators do not fare well with the typing of "south," a - sign is often substituted for a given direction. On occasion, a "+" or "-" is used to describe the direction. The direction could be described as being north, south, east, west or left, right, up, down. Which of these statements represent a vector description? Include all that apply.Įxpressions of vector quantities would include a magnitude (number, value, etc.) and a direction.
Numerical values and directions are stated for a variety of quantities. Displacement, velocity (both average and instantaneous), and acceleration all require the mention of a direction in order to fully describe the quantity. Of the five kinematic quantities listed here (distance, displacement, speed, velocity and acceleration), three of them are vectors. Which of the following quantities are vectors? Include all that apply. Scalars and Vectors || Vectors and DirectionĢ. TRUE - This is exactly the case and exactly what is done throughout the unit. Direction is of no importance when adding scalars.ĭ. The direction of a vector must be considered when adding two vectors together. The rules for adding vectors together are unique to vectors and cannot be used when adding scalars together. FALSE - Both vectors and scalars can be added together. If a quantity did have a direction associated with it, then that quantity would not be a vector.Ĭ. Scalars have no regard for direction and it is meaningless to associate a direction with such a quantity. FALSE - Scalars are defined as quantities which are fully described by their magnitude alone. If it didn't, then it would NOT be a vector.ī. By definition, a vector has a direction associated with it. TRUE - Vectors are defined as quantities which are fully described by both their magnitude and direction. Vectors can be represented by an arrow on a scaled diagram the length of the arrow represents the vector's magnitude and the direction it points represents the vector's direction.Ī.Vectors can be added together scalar quantities cannot.A scalar quantity can have a direction associated with it.A vector quantity always has a direction associated with it.Which of the following statements are true of scalars and vectors? List all that are TRUE. Vectors and Projectiles - Home || Printable Version || Questions and LinksĪnswers to Questions: All || #1-9 || #10-45 || #46-55 || #56-72ġ. \).The Review Session » Vectors and Projectiles » Answers Vectors and Projectiles
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