Vectors A, B, C and D have the following components: X components (A, B, C and D

Question

Vectors A, B, C and D have the following components: X components (A, B, C and D respectively): +2.5 units, +6.1 units, -3.6 units and -1.5 units Y components (A, B, C and D respectively): +4.3 units, -2.1 units, +1.0 units and -7.3 units The magnitude of the resultant is: Vectors A, B, C and D have the following components: X components (A, B, C and D respectively): +2.5 units, +6.1 units, -3.6 units and -1.5 units Y components (A, B, C and D respectively): +4.3 units, -2.1 units, +1.0 units and -7.3 units The magnitude of the resultant is: X components (A, B, C and D respectively): +2.5 units, +6.1 units, -3.6 units and -1.5 units Y components (A, B, C and D respectively): +4.3 units, -2.1 units, +1.0 units and -7.3 units The magnitude of the resultant is:

Explanation / Answer

Resultant X component = +2.5 units +6.1 units -3.6 units -1.5 units = 3.5 units

Resultant Y component = +4.3 units-2.1 units+1.0 units-7.3 units = -4.1 units

Magnitude = sqrt(3.5^2 + (-4.1)^2) = 5.39 units.

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