Question 54: Motion in 2D & Vectors

Question

Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$	heta$$ to each other?

Accepted Answer

$$\because$$ $$\left| {\widehat A - \widehat B} ight| = 2\sin \left( {{	heta  \over 2}} ight)$$
and, $$\left| {\widehat A + \widehat B} ight| = 2\cos \left( {{	heta  \over 2}} ight)$$
$$ \Rightarrow {{\left| {\widehat A - \widehat B} ight|} \over {\left| {\widehat A + \widehat B} ight|}} = 	an \left( {{	heta  \over 2}} ight)$$

Answer

$$|\widehat A + \widehat B| = |\widehat A - \widehat B|	an {	heta  \over 2}$$

Answer

$$|\widehat A - \widehat B| = |\widehat A + \widehat B|	an {	heta  \over 2}$$

Answer

$$|\widehat A + \widehat B| = |\widehat A - \widehat B|cos{	heta  \over 2}$$

Answer

$$|\widehat A - \widehat B| = |\widehat A + \widehat B|\cos {	heta  \over 2}$$

Motion in 2D & Vectors

Which of the following relations is true for two unit vector $\widehat A and \widehat B making an angle \theta$ to each other?

Choose the correct answer: