Question

Problem \[A\] \[B\] \[C\] \[D\] \[E\] \[F\] \[G\] \[x^\circ\] \[80^\circ\] \[\goldD{160^\circ}\] NOTE: Angles not necessarily drawn to scale. \[x = \] \[\Large{{}^\circ}\]

Answer 1

The question involves calculating the resultant of three displacement vectors using the analytical method in Physics, by breaking them into components along the axes,

summing those components, and then finding the resultant vector's magnitude and direction.

Step-by-step explanation:

The subject question concerns the concept of vector addition and components in Physics. The problem provides the magnitudes and direction angles of three displacement vectors and requires using the analytical method to find the resultant vector G = A + 2B - F.

By decomposing the given vectors A, B, and F into their respective x and y components, one can sum these components to find the components of vector G. To confirm the magnitude and direction of G, one would then use the Pythagorean theorem for magnitude and the arctangent function for the direction angle.

This process involves: calculating x-components using Ax = A cos θ, and y-components using Ay = A sin θ, summing these components accordingly, and applying trigonometric functions to determine the magnitude and direction of the resultant vector.

The student is also made aware of the use of units—degrees, minutes of arc, and seconds of arc—in measuring angles.