Two forces and act along the lines x = 0 and y = 0 respectiv... | PHYSICS - RESOLUTION OF VECTORS | SolveeIt | Solveeit

Today, August 18

Question

Two forces and act along the lines x = 0 and y = 0 respectively. Then the resultant of forces would be

A

$\hat { i } + 2 \hat { j }$

B

$\hat { i } + \hat { j }$

C

$3 \hat { i } + 2 \hat { j }$

D

$2 \hat { i } + \hat { j }$

Answer

$2 \hat { i } + \hat { j }$

Explanation

Solution

x = 0 means y-axis $\Rightarrow \vec { F } _ { 1 } = \hat { j }$

y = 0 means x-axis $\Rightarrow \vec { F } _ { 2 } = 2 \hat { i }$ so resultant

$\vec { F } = \vec { F } _ { 1 } + \vec { F } _ { 2 } = 2 \hat { i } + \hat { j }$