A man in a boat row due south to cross the river. If water stream is flowing due east then Then motion of the boat relative to the shore is

Due south

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Due north

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Due west

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South west

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North east

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Solution

The correct option is D South west
Let east be represented by $+^i$ direction and north be represented by $+^j$ .
Let the speed of man rowing boat be $- a^j$
And the speed of water stream be $+ b^i$ .
Speed of boat relative to stream=Speed of boat-Speed of stream
$= - a^j - (+ b^i)$
$= - a^j - b^i$ which is in South West direction

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