Q.

3 forces are applied to a vertex of a cube which are 1, 2 and 3 in magnitude and are directed along the diagonals of the faces of the cube meeting in that vertex. The magnitude of the resultant of these forces is

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a

6

b

3

c

4

d

5

answer is C.

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Detailed Solution

Let the diagonals of the faces of the cube are i+j,j+k,k+i

Resultant of the three forces along the diagonals = i+j2+2j+k2+3k+i2=4i^+3j^+5k^2=16+9+252=5

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