题目
题目

SMAT011 Week 1 Practice Quiz

单项选择题

𝐴 𝐵 𝐶 𝐷  is a parallelogram. The vector sum   𝐴 𝐵 → + 𝐴 𝐶 → + 𝐴 𝐷 →  is equal to:

选项
A.2 3 𝐴 𝐶 →
B.the zero vector
C.2 𝐴 𝐶 →
D.𝐴 𝐶 →
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思路分析
To begin, let's restate the setup clearly: ABCD is a parallelogram, and we are asked for the vector sum AB⃗ + AC⃗ + AD⃗. The available choices are: 1) 2/3 AC⃗, 2) the zero vector, 3) 2 AC⃗, 4) AC⃗. First, recall a key parallelogram identity: in a parallelogram, the diagonal AC⃗ equals the sum of adjacent side vectors AB⃗ and AD⃗, i.e., AC⃗ = AB⃗ + AD⃗. This is because mo......Login to view full explanation

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