Question

The resultant vector of the given forces is
Fi = 41 – 3;&F2
3j&F2 = 6i + 87​

Answer 1

Given

F₁ = 4i - 3j

F₂ = 3j

F₃ = 6i + 8j

Their resultant by simply adding them

$\sf F_R = F_1 + F_2 + F_3$

Where, $\sf F_R$ is resultant force

$\sf\implies F_R = 4i - 3j + 3j + 6i + 8j$

$\sf F_R = 10i + 8j$

Magnitude of this force $\sf F_R =\sf \sqrt{10^2 + 8^2}$

$\sf F_R = \sqrt{164}$

$\sf F_R = 2\sqrt{41}$