Question

refer to the figure below to answer the following questions. which of the following represents the vector resulting in the subtraction of the displacement vectors d₂ - d₁ shown in the figure? question 7 choose the best answer from the options that follow each question. in a diagram, the length of a vector arrow represents the cause of the vector. direction of the vector. magnitude of the vector. type of vector.

Explanation:

Question 1

Step1: Recall vector subtraction rule

Vector subtraction $\vec{d}_2-\vec{d}_1=\vec{d}_2+(-\vec{d}_1)$. To subtract $\vec{d}_1$ from $\vec{d}_2$, we reverse the direction of $\vec{d}_1$ and then add it to $\vec{d}_2$. Since $\vec{d}_1$ is a downward - pointing vector, $-\vec{d}_1$ is an upward - pointing vector. Adding this to the right - pointing vector $\vec{d}_2$ gives a vector that points in the northeast direction.

In a vector diagram, the length of a vector arrow is a visual representation of the magnitude of the vector. The direction of the arrow represents the direction of the vector. The cause of the vector is not represented by the length. The type of vector (e.g., displacement, velocity, force) is not indicated by the length alone.

Answer:

The vector that points in the northeast direction (the fourth option among the given ones for the first question)

Question 2