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. $