Kinematics Question 602
Question: If the vectors $ (\hat{i}+\hat{j}+\hat{k}) $
and $ 3\hat{i} $ form two sides of a triangle, the area of the triangle it’s:
Options:
A) $ \sqrt{3} $
B)$ 2\sqrt{3} $
C) $ \frac{3}{\sqrt{2}} $
D)$ 3\sqrt{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] The area of the triangle $ A=\frac{1}{2}|(\hat{i}+\hat{j}+\hat{k})\times (3\hat{i})|=\frac{3}{\sqrt{2}}. $