GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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What is the magnitude of the resultant vector after adding Vector A that has magnitude and direction of 6 m due West and Vector B which has a magnitude and direction of 8 m due South?
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10 m
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10
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100 m
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10 m, 53
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Explanation:
Detailed explanation-1: -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)
Detailed explanation-2: -The sum of vectors P and Q is given by the vector R, the resultant sum vector using the parallelogram law of vector addition. If the resultant vector R makes an angle with the vector P, then the formulas for its magnitude and direction are: |R| = √(P2 + Q2 + 2PQ cos )
Detailed explanation-3: -Hence, the magnitude of resultant vector is always less than or equal to (|→a|+|→b|).
There is 1 question to complete.