GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In getting the magnitude of the sum of two vectors using component method, we always what?
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Subtract the square of the vector parallel to the x-and y-axis then extract its square root.
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Extract the square root of the sum of the squares of the vector component parallel to the x-and y-axis.
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Extract the square root of the squares of the difference of the vector components perpendicular to the x-and y-axis.
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Divide the product of the square of the vector perpendicular to the x-and y-axis then extract its square root.
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Explanation:
Detailed explanation-1: -For a two-dimensional vector a=(a1, a2), the formula for its magnitude is ∥a∥=√a21+a22.
Detailed explanation-2: -This is the formula for the addition of vectors: Given two vectors a = (a1, a2) and b = (b1, b2), then the vector sum is, M = (a1 + b1, a2 + b2) = (Mx, My). In this case, magnitude of the resultant vector sum M = |M| = √ ((Mx)2+(My)2) and. the angle can be computed as = tan-1 (My/ Mx)
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