What is the minimum number of forces acting in the same plane on a particle that can result in a zero net force?

  • A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $4$

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$A$ particle is situated at the origin of a coordinate system. The following forces begin to act on the particle simultaneously (assuming the particle is initially at rest):
$\vec{F}_1 = 5\hat{i} - 5\hat{j} + 5\hat{k}$
$\vec{F}_2 = 2\hat{i} + 8\hat{j} + 6\hat{k}$
$\vec{F}_3 = -6\hat{i} + 4\hat{j} - 7\hat{k}$
$\vec{F}_4 = -\hat{i} - 3\hat{j} - 2\hat{k}$
Then the particle will move:

Can a stationary object remain stationary if multiple external forces act upon it?

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