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

Question

Quizplus · Accepted Answer

To find the magnitude of vector AB, we can use the Pythagorean theorem: |AB| = sqrt((A_x + B_x)^2 + (A_y + B_y)^2) Substituting the given values: |AB| = sqrt((-8.0 + 1.0)^2 + (6.0 - (-1.0))^2) |AB| = sqrt(9^2 + 7^2) ≈ 8.6 units Therefore, the best choice is B.

Two Vectors and Are Added to Give a Resultant