Two vectors and are added to give a resultant . The components of are A_x = -8.0 units and A_y = 6.0 units and the components of are B_x = 1.0 units and B_y = -1.0 units. The magnitude of vector is A) -1.0 units B) +8.6 units C) +19 units D) +2.0 units E) -3.2 units

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Quizplus · Accepted Answer

Since the components of the resultant vector are known, we can write: _x = (A_x) + (B_x) = -8.0 + 1.0 = -7.0 _y = (A_y) + (B_y) = 6.0 - 1.0 = 5.0 Thus, the components of the vector are (-7.0, 5.0). To find the magnitude of this vector, we use the Pythagorean theorem: || = sqrt((-7.0)^2 + (5.0)^2) = sqrt(74) ≈ 8.6 Therefore, the magnitude of vector is approximately 8.6 units (answer choice B).

Two Vectors and Are Added to Give a Resultant