Vectors Question 146

Question: The area of the parallelogram represented by the vectors $ \overrightarrow{A}=2\hat{i}+3\hat{j} $ and $ \overrightarrow{B}=\hat{i}+4\hat{j} $ is

Options:

A) 14 units

B) 7.5 units

C) 10 units

D) 5 units

Show Answer

Answer:

Correct Answer: D

Solution:

$ |\vec{A}\times \vec{B}|\ =\ |(2\hat{i}+3\hat{j})\times (\hat{i}+4\hat{j})| $

$ =\ |5\hat{k}|\ =\ 5\ units $