Vector A in the drawing is equal to

Question

BlackTom AI · Accepted Answer

Let’s break down what each labeled vector represents and how vector addition works in this diagram.
Option 1: C + D + E. If we add these three vectors tip-to-tail, the resultant would depend on magnitudes and directions of C, D, and E. However, visually summing C (down-right), D (up-right), and E (left) does not align with the horizontal rightward direction of A, so this combination is unlikely to produce A. The directions largely cancel out components, making it inconsistent with A’s single-rightward direction.
Option 2: C + D. Adding C (down-right) and D (up-right) yields a resultant vector that points to the right, but its vertical components cancel if D is steeper than C, leaving a shorter or differently oriented vector than A. Since A appears as a distinct rightward vector, this two-vector sum does not match A exactly.
Option 3: B + F. B is vertical up, F is down-left (opposite/angled). Summing these tends to produce a resultant that has a significant vertical component or a leftward component, not a clean rightward A. Therefore this combination does not align with A.
Option 4: B + C. Here, B is straight up and C is down-right. When you add B (up) to C (down-right), the vertical components can cancel partially, leaving a net rightward component that aligns with A’s horizontal rightward direction. The resulting vector often points to the right with appropriate magnitude, matching A as drawn. This makes B + C a plausible decomposition of A.
In summary, among the given combinations, only B + C yields a resultant vector directed to the right in the same line as A, consistent with vector addition rules and the diagram’s geometry. The other sums produce vectors with vertical components or leftward components that do not coincide with A’s orientation.

SPHY001 Graded Quiz 2 (Unit 3 and Unit 4)- Requires Respondus LockDown Browser

Vector A in the drawing is equal to

查看解析

登录即可查看完整答案

类似问题

Vector A in the drawing is equal to

The figure below shows two forces F1 and F2 acting together on an object. Which of the red vectors represents the resultant force F1+F2, in terms of the direction and magnitude?

A student walks 1.0 km east and then 3.0 km south. The student then walks 5.0 km west. The magnitude of the student's displacement is

A student walks 14.4 km east and then 8.3 km north. After that, the student walks 2.3 km east. The magnitude of the student's displacement is

A person walks 454 m East, followed by 337.9 m South and finally 1446.9 m West. What is this person's displacement vector taking reference from the starting position?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单