Question

A boat moves from a point A (4î+5ĵ) to another point across the river. The new position of the boat is given by B (−7î−9ĵ). The displacement vector is given by​

Answer 1

SOLUTION

GIVEN

A boat moves from a point A ( 4î + 5ĵ ) to another point across the river. The new position of the boat is given by B ( − 7î − 9ĵ ).

TO DETERMINE

The displacement vector

EVALUATION

Here it is given that a boat moves from a point A ( 4î + 5ĵ ) to another point across the river. The new position of the boat is given by B ( − 7î − 9ĵ ).

Initial position vector of the boat

$= \vec{OA}$

= ( 4î + 5ĵ )

Final position vector of the boat

$= \vec{OB}$

= ( - 7î - 9ĵ )

Hence the required displacement vector

$= \vec{OB} - \vec{OA}$

= ( - 7î - 9ĵ ) - ( 4î + 5ĵ )

= - 11 î - 14 ĵ

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