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

Let's denote the first vector as A and the second vector as B. The given components tell us that: Ax = A_x = -8.0 Ay = A_y = 6.0 Bx = B_x = 1.0 By = B_y = -1.0 We need to find the magnitude of the resultant vector R: Rx = Ax + Bx = -7.0 Ry = Ay + By = 5.0 The magnitude of R is given by: |R| = sqrt(Rx^2 + Ry^2) = sqrt((-7.0)^2 + (5.0)^2) = sqrt(74) Therefore, the magnitude of vector R is approximately equal to 8.6 units. Hence, the correct choice is B.

Two Vectors and Are Added to Give a Resultant