COMPUTER SCIENCE AND ENGINEERING
DATA STRUCTURES
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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a new vector with each relative component summed into one
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a new vector with all components summed into one number
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two new vectors with some components switched
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a super vector with each component multiplied by it’s square
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Detailed explanation-1: -The triangle law of the addition of vectors states that two vectors can be added together by placing them together in such a way that the first vector’s head joins the tail of the second vector. Thus, by joining the first vector’s tail to the head of the second vector, we can obtain the resultant sum vector.
Detailed explanation-2: -The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together.
Detailed explanation-3: -To add the vectors (x₁, y₁) and (x₂, y₂), we add the corresponding components from each vector: (x₁+x₂, y₁+y₂). Here’s a concrete example: the sum of (2, 4) and (1, 5) is (2+1, 4+5), which is (3, 9).
Detailed explanation-4: -The resultant is determined by adding together these two the components to form a right triangle that has a hypotenuse that is equal to the resultant.