while travelling from one station to another,a car travels 75km north, 60km north east , and 20km east. what is the minimum distance between two stations
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105
Let
North = y-axis
East = x-axis
Minimum distance = Displacement
Displacement = 75j + 60Cos45i + 60Sin45j + 20i
= (20 + 60/√2)i + (75 + 60/√2)j
Magnitude = sqrt((20 + 60/√2)^2 + (75 + 60/√2)^2)
= 132.98 km
North = y-axis
East = x-axis
Minimum distance = Displacement
Displacement = 75j + 60Cos45i + 60Sin45j + 20i
= (20 + 60/√2)i + (75 + 60/√2)j
Magnitude = sqrt((20 + 60/√2)^2 + (75 + 60/√2)^2)
= 132.98 km
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