Vector Algebra Question 79
Question: The position vectors of A and B are $ 2\mathbf{i}-9\mathbf{j}-4\mathbf{k} $ and $ 6\mathbf{i}-3\mathbf{j}+8\mathbf{k} $ respectively, then the magnitude of $ \overrightarrow{AB} $ is
[MP PET 2000]
Options:
A) 11
B) 12
C) 13
D) 14
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \overrightarrow{AB}=(6-2)i+(-3+9)j+(8+4)k $ $ =4i+6j+12k $ $ |\overrightarrow{AB}|,=\sqrt{16+36+144}=14. $