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Q)

a body moves 6m north 8m east and 10m vertically upwards , what is it's res

a body moves 6m north 8m east and 10m vertically upwards , what is it's resultant displacement from initial displacement

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A)

Let i,j,k represent unit vectors in x,y,z axis.

Initially the body was at origin so it's position vector was R1= 0i+0j+0k.

After the motion the position vector is R2=8i+6j+10k.

Therefore displacement vector( change in position vector) becomes R=R2-R1

R=8i+6j+10k

Magnitude of displacement vector is given by √(8^2+6^2+10^2)=10√2 m.

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