Vectors Question 196
Question: The angle between two vector $ \overrightarrow{A}\And \overrightarrow{B} $ is $ \theta $ . vector $ \overrightarrow{R} $ is the resultant of vectors $ \overrightarrow{A}\And \overrightarrow{B}, $ if $ \overrightarrow{R} $ makes an angle $ \frac{\theta }{2} $ with $ \overrightarrow{A} $ then
Options:
A) A = 2B
B) A = B/2
C) A = B
D) AB = 1
Correct Answer: C [c] From given situation vector diagram is drawn as shown in figure.
$ \angle ZXY+\angle YZX=\angle ZYU $
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Answer:
Solution:
$ \Rightarrow $ $ \angle YZX=\frac{\theta }{2} $
So XYZ is an isosceles triangle so $ |\overrightarrow{A}|=|\overrightarrow{B}| $
BETA
