A body is moving from position coordinate(2,4) to position coordinate(3,5).Find its displacement vector.
Answers
Given
- Initial position = (2,4)
- Final posting = (3,5)
To Find
- Displacement vector
Solution
☯ Displacement vector = Initial position - Final piston
- Here we would express the coordinates in the form of î + ĵ + k^
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✭ According to the Question :
➞ Displacement vector = Final position - initial piston
- Initial = 2î + 4ĵ
- Final = 3î + 5ĵ
➞ Displacement = (3î+5ĵ) - (2î+4ĵ)
➞ Displacement = (3-2)î + (5-4)ĵ
➞ Displacement vector = î+ĵ
∴ The displacement vector is î+ĵ
Given information :-
A body is moving from position coordinate (2,4) to position coordinate (3,5). Find its displacement vector.
- Initial position = (2,4)
- Final position = (3,5)
- Displacement vector = ?
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Let's express initial and final position in form of î + ĵ + k^.
- Initial position = 2î + 4ĵ
- Final position = 3î + 5ĵ
Now, we have all required values so let's find its displacement vector. We clearly know that;
- Displacement vector = Final position - initial position
Putting all values we get,
➡ Displacement vector = (3î + 5ĵ) - (2î + 4ĵ)
➡ Displacement vector = 3î + 5ĵ - 2î - 4ĵ
➡ Displacement vector = 3î - 2î + 5ĵ - 4ĵ
➡ Displacement vector = (3 - 2)î + (5 - 4)ĵ
➡ Displacement vector = 1î + 1ĵ
➡ Displacement vector = î + ĵ
Learn more :-
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The vectors 5i+ 8j and 2i+ 7jare added. The magnitude of the sum of these vector is
- [a] √274
- [b] 38
- [c] 238
- [d] 560
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- brainly.in/question/42435326
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- Find magnitude of sum of given two vectors.
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