Question

If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant are: ​

Answer 1

F₁ = 5i

F₂ = 5j

Angle between the two vectors = α(Alpha) = 90

Resultant = $\sqrt{F1^{2}+F2^{2} +2F1F2cos\alpha }$

                 = $\sqrt{5^{2} +5^{2}+2*5*5*cos90} =\sqrt{25+25+0} =5\sqrt{2}$

Therefore the resultant of the two vectors will be 5√2 and the

Resultant = R = F₁ + F₂ = 5i + 5j

R = 5(i+j)

It will be towards the direction i+j

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