Email
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XII  >>  Math  >>  Vector Algebra
Answer
Comment
Share
Q)

If $\theta$ is the angle between any two vectors $\overrightarrow {a} $ and $\overrightarrow {b}$ , then $|\overrightarrow {a} . \overrightarrow {b} | = |\overrightarrow {a} \times \overrightarrow {b}|$, then what is the value of $\theta$


$(A)\; \frac{\pi}{2}$
$(B)\; \frac{\pi}{4}$
$(C)\; 0$
$(D)\; \frac{\pi}{3}$

1 Answer

Comment
A)
$|\overrightarrow {a} . \overrightarrow {b}| = |a| |b| \cos \theta $
$|\overrightarrow {a} \times \overrightarrow {b}| = |a| | b| \sin \theta$
Given : $|\overrightarrow {a} . \overrightarrow {b}| = | \overrightarrow{a} \times \overrightarrow {b}|$
$\implies |a| |b| \cos \theta = |a| |b| \sin \theta $
$\tan \theta = 1$
$\therefore \theta = \frac{\pi}{4}$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
...