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3-1.Vectors
medium
Following forces start acting on a particle at rest at the origin of the co-ordinate system simultaneously${\overrightarrow F _1} = - 4\hat i - 5\hat j + 5\hat k$, ${\overrightarrow F _2} = 5\hat i + 8\hat j + 6\hat k$, ${\overrightarrow F _3} = - 3\hat i + 4\hat j - 7\hat k$ and ${\overrightarrow F _4} = 2\hat i - 3\hat j - 2\hat k$ then the particle will move
A
In $x -y$ plane
B
In $y -z$ plane
C
In $x -z$ plane
D
Along $x -$ axis
Solution
(b) ${F_1} + {\vec F_2} + {\vec F_3} + {\vec F_4}$
= $( – 4\hat i + 5\hat i – 3\hat i + 2\hat i)$$ + ( – 5\hat j + 8\hat j + 4\hat j – 3\hat j)$
$ + (5\hat k + 6\hat k – 7\hat k – 2\hat k)$$ = 4\hat j + 2\hat k$
$\therefore$ the particle will move in $y -z$ plane.
Standard 11
Physics
