What is the sum of the following vectors?A = 3.00i -2.00jB = -5.00i + 4.00jGroup of answer choices(-8, -6)(2, -2)(8, 6)(-2, 2)
Question
What is the sum of the following vectors?
A = 3.00i - 2.00j
B = -5.00i + 4.00j
Group of answer choices
(-8, -6)
(2, -2)
(8, 6)
(-2, 2)
Solution
To find the sum of the vectors A and B, we add their corresponding components.
The i component (x-direction) of the sum is the sum of the i components of A and B: 3.00i + (-5.00i) = -2.00i
The j component (y-direction) of the sum is the sum of the j components of A and B: -2.00j + 4.00j = 2.00j
So, the sum of vectors A and B is -2.00i + 2.00j. In terms of coordinates, this is (-2, 2). Therefore, the correct answer from the given choices is (-2, 2).
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