What displacement must be added to the displacement $25\hat i - 6\hat j\,\,m$ to give a displacement of $7.0\, m$ pointing in the $X- $direction
$18\hat i - 6\hat j$
$32\hat i - 13\hat j$
$ - 18\hat i + 6\hat j$
$ - 25\hat i + 13\hat j$
Two forces $\vec{F}_1$ and $\vec{F}_2$ are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between $\vec{F}_1$ and $\overrightarrow{\mathrm{F}}_2$ is $\cos ^{-1}\left(\frac{1}{\mathrm{n}}\right)$. The value of $|\mathrm{n}|$ is__________.
Match List$- I$ with List$- II.$
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Choose the correct answer from the options given below :
Two vectors having equal magnitudes of $x\, units$ acting at an angle of $45^o$ have resultant $\sqrt {\left( {2 + \sqrt 2 } \right)} $ $units$. The value of $x$ is
Which of the following is independent of the choice of co-ordinate system
Following sets of three forces act on a body. Whose resultant cannot be zero