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A ship A travels in the north making angle of 450 to the west with a velocity of 18 km/hr & ship B travels in the east with a velocity of 9 km/hr.

Find the relative velocity of B w.r.t. ship A.

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let VA be velocity of A & VB be velocity of B

VA=18km/hr enter image description here @θ=450

VB=3km/h

Converting velocities in vector form.

VA=12.73i+12.73jVB=9i

Now, velocity of B w.r.t. A=VB/A=VBVA=9i+12.73i12.73j=21.73i12.73j=25.184km/hr enter image description here @θ=30.3630

Relative velocity of ship B w.r.t. ship A is 25.184km/hr enter image description here @θ=30.3630

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