Explain the vector addition and subtraction with example.
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a vector is a quantity that has magnitude and direction. For example, displacement, velocity, acceleration, and force are all vectors. In one-dimensional or straight-line motion, the direction of a vector can be given simply by a plus or minus sign.
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Explanation:
To add or subtract two vectors, add or subtract the corresponding components.
Let u⃗ =⟨u1,u2⟩ and v⃗ =⟨v1,v2⟩ be two vectors.
Then, the sum of u⃗ and v⃗ is the vector
u⃗ +v⃗ =⟨u1+v1,u2+v2⟩
The difference of u⃗ and v⃗ is
u⃗ −v⃗ =u⃗ +(−v⃗ ) =⟨u1−v1,u2−v2⟩
The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method
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