The resultant of vectors $$\overrightarrow{\text{P}}\text{ }$$and $$\overrightarrow{\text{Q}}$$ is $$\overrightarrow{\text{R}}$$. On reversing the direction of $$\overrightarrow{\text{Q}}$$, the resultant vector becomes $$\overrightarrow{S}$$. Then, correct relation is

Question

TuteeHUB · Accepted Answer

$${{R}^{2}}+{{S}^{2}}={{P}^{2}}+{{Q}^{2}}\,$$

TuteeHUB · Answer

$$~{{R}^{2}}+{{S}^{2}}=({{P}^{2}}+{{Q}^{2}})$$

TuteeHUB · Answer

$${{R}^{2}}+{{P}^{2}}={{S}^{2}}+{{Q}^{2}}$$

TuteeHUB · Answer

$${{P}^{2}}+{{S}^{2}}=2\,({{Q}^{2}}+{{R}^{2}})$$

1.	The resultant of vectors \[\overrightarrow{\text{P}}\text{ }\]and \[\overrightarrow{\text{Q}}\] is \[\overrightarrow{\text{R}}\]. On reversing the direction of \[\overrightarrow{\text{Q}}\], the resultant vector becomes \[\overrightarrow{S}\]. Then, correct relation is
A.	\[~{{R}^{2}}+{{S}^{2}}=({{P}^{2}}+{{Q}^{2}})\]
B.	\[{{R}^{2}}+{{S}^{2}}={{P}^{2}}+{{Q}^{2}}\,\]
C.	\[{{R}^{2}}+{{P}^{2}}={{S}^{2}}+{{Q}^{2}}\]
D.	\[{{P}^{2}}+{{S}^{2}}=2\,({{Q}^{2}}+{{R}^{2}})\]
Answer» B. \[{{R}^{2}}+{{S}^{2}}={{P}^{2}}+{{Q}^{2}}\,\]

The resultant of vectors \[\overrightarrow{\text{P}}\text{ }\]and \[\overrightarrow{\text{Q}}\] is \[\overrightarrow{\text{R}}\]. On reversing the direction of \[\overrightarrow{\text{Q}}\], the resultant vector becomes \[\overrightarrow{S}\]. Then, correct relation is

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