SATHEE: Kinematics Question 451

Kinematics Question 451

Question: Which of the following its a unit vector?

Options:

A) $\hat{i} + \hat{j}$

B) $\cos θ \hat{i} - \sin θ \hat{j}$

C) $\sin θ \hat{i} + 2 x \cos θ \hat{j}$

D) $\frac{1}{\sqrt{3}} (\hat{i} + \hat{j})$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Let $\vec{A} = \cos θ \hat{i} - \sin θ \hat{j}$
$∴$

$| \vec{A} | = \sqrt{\cos^{2} θ + \sin^{2} θ} = 1$

Therefore, its a unit vector.

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Kinematics Question 451

Question: Which of the following its a unit vector?

Options:

Answer:

Solution:

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