Question

Below is the displacement vector. Which of the following sum of vectors results in ? Choose all that apply.

a) Vector A + Vector B
b) Vector A - Vector B
c) Vector B - Vector A
d) Vector A + Vector C

Answer 1

To determine the resultant displacement vector from the sum of given vectors, one must understand vector properties and use geometric methods of vector addition. Displacement is indeed a vector because it includes both magnitude and direction. The correct choice from the provided vectors and scalar options is one that contains two vectored quantities and one scalar quantity.

Step-by-step explanation:

Regarding the question on which of the following sums of vectors result in a specific displacement vector, we need to know the definitions and properties of vectors to answer this question accurately. Vectors have magnitude and direction, and when adding or subtracting vectors (like Vector A, Vector B, and Vector C), we need to take into account both their magnitudes and directions. If they were only given by magnitudes, adding them would be straightforward, but because of directional angles, we need to use geometric vector addition methods such as tip-to-tail to determine the resultant vectors. Without the specific values of these vectors, we cannot determine the result of the vector operations listed.

Similarly, in the question regarding two vectors and a scalar, we know a vector has both magnitude and direction, while a scalar has only magnitude. The correct option must contain two quantities with directions and one without. Option b, displacement and velocity (both vectors) and acceleration (also a vector but considered scalar in this context because only its magnitude is considered), is the accurate choice.

Displacement is a vector because it has both magnitude and direction. It considers the initial and final position of an object and provides the shortest path between them in a straight line.

Answer 2

The question concerns the process of vector addition to find resultant displacement in physics. Without specific vectors or additional context, it is not possible to determine conclusively which combinations of vectors lead to the desired displacement using either graphical or analytical methods.

Step-by-step explanation:

The question relates to vector addition in physics, specifically how different combinations of vectors result in a certain displacement.

When adding or subtracting vectors such as displacement vectors, we can use either analytical methods (with components) or graphical methods (with scale drawings and angles). Since the problem does not provide vector components or a specific vector to match, we can discuss the process conceptually. To find the resultant vector from various vector combinations (like vector A + vector B), one would typically employ the head-to-tail method to graphically determine the magnitude and direction of the resultant. In the analytical approach, vector components are added or subtracted algebraically, using trigonometry when necessary to resolve vectors into their components.

Therefore, without the specific vectors provided or further context, it is not possible to determine which sum of the vectors results in the required displacement.