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Question: Two forces ![](https://cdn.pureessence.tech/canvas_265.png?top_left_x=1182&top_left_y=0&width=300&he...

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

A

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

B

i^+j^\hat { i } + \hat { j }

C

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

D

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

Answer

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

Explanation

Solution

x = 0 means y-axis ⇒F⃗1=j^\Rightarrow \vec { F } _ { 1 } = \hat { j }

y = 0 means x-axis ⇒F⃗2=2i^\Rightarrow \vec { F } _ { 2 } = 2 \hat { i } so resultant

F⃗=F⃗1+F⃗2=2i^+j^\vec { F } = \vec { F } _ { 1 } + \vec { F } _ { 2 } = 2 \hat { i } + \hat { j }