यदि | A + B |=| A |+| B | तब mathop Alimits^ | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

For two vectors $A \square A ightarrow$ and $B \square B ightarrow$, the angle between them being $	heta 	heta$, the magnitude of the resultant

Vedclass · Accepted Answer

$0$

Vedclass · Answer

For two vectors $A \square A ightarrow$ and $B \square B ightarrow$, the angle between them being $	heta 	heta$, the magnitude of the resultant vector $A + B ightarrow A + B ightarrow$ is given by,

$| A + B |=\sqrt{| A |^2+| B |^2+2 AB \cos 	heta}$

Now in the problem we've,

$| A + B |=| A |+| B |$

Squaring on both sides,

$\begin{array}{l}| A + B |^2=(| A |+| B |)^2 \| A |^2+| B |^2+2| A || B | \cos 	heta=| A |^2+| B |^2+2| A || B | \\Rightarrow \cos 	heta=1\end{array}$

assuming neither of the vectors are $zero$ vectors.

यदि $| A + B |=| A |+| B |$ तब $\mathop A\limits^ \to $व $\mathop B\limits^ \to $ के बीच कोण है

Similar Questions

यदि $|{\mathop V\limits^ \to _1} + {\mathop V\limits^ \to _2}|\, = \,|{\mathop V\limits^ \to _1} - {\mathop V\limits^ \to _2}|$ तथा ${V_2}$ नियत हैं, तो

$12 \,N$ तथा $8 \,N$ परिमाण के दो बल एक वस्तु पर कार्यरत हैं। वस्तु पर लगने वाले परिणामी बल का अधिकतम मान .......... $N$ है