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Find the magnitude of the resultant force and the angle it makes with the positive x-axis.

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Magnitude of the resultant force: 100$\sqrt{7} N$Angle: $\approx 139.1^{\circ}$

02:16

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Johns Hopkins University

Campbell University

Baylor University

Boston College

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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So for this problem we want to find um the resultant, the magnitude, the resultant force and the angle that makes with the positive X. Axis. So how we do this is um when we're given say two forces or three forces, we want to take their vector form and add them up together. Then once we have F. X. Plus effects and then that's y plus wine, we can then find the magnitude of this, taking the square root of the sum of the squares. And then if we want to find data, we are going to take the inverse tangent of this component divided by this component right here and that will end up giving us our fate of value above the X axis. So we end up finding that that answer is going to be 100 route seven newtons and it's going to be 139 degree 139.1 degrees above the X axis.

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