Learning Goal:
Express your answers, separated by commas, to three significant figures.
To understand Cartesian representations of vectors and how they can be determined from direction and magnitude; to learn how to represent vectors expressed as the product of the component magnitude and the unit direction vectors i, j, and k; and to learn how to represent vector components as a function of the angle between the vector and the coordinate axis.
As shown, a pole is subjected to three forces, F, P, and T. The force F expressed in Cartesian vector form is F = [10 i + 9 j + 5 k] N. Force P has magnitude 3.74 N and acts in the direction given by these direction angles: 122°, 36.7°, and 74.59° to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 16 N.
Part C: Finding Cartesian components from right triangles
What are the Cartesian components of force T? Express your answers, separated by commas, to three significant figures.