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} $

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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}}. $



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