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Question:
PR © oxsror suc 162s Uiviews
w Chegg | cisco —0( :
) Question 10 ©
J
4 [ | hi
\ E..
2 Ld
1 1.1]
of [1
22°55]
21355
.
0
P ff
a
" "
[lo
y -
: 16
QLoumeDRoOoEeP0 920
This is AI generated Response.
Asked by: Veera manikanta
Created at: 2025-08-31 00:06:53
Asked by: Veera manikanta
Created at: 2025-08-31 00:06:53
Final Answer:
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Let's analyze the question:
You are asked to obtain the Miller indices for directions **A** and **B** shown in the cubic crystal structure.
### **Step-by-step Solution:**
#### 1. **Read the Directions in the Diagram**
- For **Direction A**: It starts at the origin (0,0,0) and goes to the point (1,1,2).
- For **Direction B**: It starts at the origin (0,0,0) and goes to the point (1,-1,3).
#### 2. **Find the Vector Components**
- **A**: \( (1, 1, 2) \)
- **B**: \( (1, -1, 3) \)
#### 3. **Write as Miller Indices**
Miller indices for directions are written as \[uvw\].
- **A**: \[1\ 1\ 2\]
- **B**: \[1\ \overline{1}\ 3\] (Note: the overline indicates negative value)
#### 4. **Match with the Options**
Let's check which option matches:
- Option 1: Not matching.
- Option 2: \([2\ 2\ 1], [3\ 1\ 3]\) — Not matching.
- **Option 3: \([1\ 1\ 2], [1\ \overline{1}\ 3]\)** — **This matches!**
- Option 4: Not matching.
### **Final Answer:**
The correct answer is:
\[
\boxed{[1\ 1\ 2],\ [1\ \overline{1}\ 3]}
\]
Which corresponds to Option 3 in your image.
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