Question

two forces f1=3i+4j and f2=3j+4k are acting simultaneously at a point what is the magnitude of result force?

Answer 1

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Answer 2

Concept

Force is an external agent that can change the state of rest or movement of a particular body. It has size and direction.

Given

The Forces given are F1 and F2

Where F1 =3i+4j

F2 = 3j+4k

Find

We need to find the magnitude of resultant force

Solution

The resultant force is

$\sqrt{(f1)^{2} + (f2)^{2} }$

Now substitute the values of F1 and F2

Hence we will get the resultant force

The resultant force is

$\sqrt{(3)^{2} + (7)^{2} + (4) ^{2} } \\ \sqrt{9 + 49 + 16} \\ \sqrt{74}$

Hence the Resultant force is 8.6N

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