Review | Constants Learning Goal: Part B To introduce you to vectors and the use of sine and cosine for a triang le when resolving components. When you resolve a vector F into components, the components must have the form Fcos(0) or Fsin(0). The signs depend on which quadrant the vector lies in, and there will be one component with sin(0) and the other with cos(0) Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector In real problems the optimal coordinate system is often rotated so that the x axis is not horizontal. Furthermore, most vectors will not lie in the first quadrant. To assign the sine and cosine correctly for vectors at arbitrary angles, you must figure out which angle is 0 and then properly reorient the definitional triangle. As an example, consider the vector N shown in (Figure 2) labeled "tilted axes," where you know the Figure < 2 of 3 angle 0 between N and the y axis. Which of the various ways of orienting the definitional triangle must be used to resolve N into components in the tilted coordinate system shown? (In the figures, the hypotenuse is blue (long dashes), the side adjacent to 0 is red (short dashes), and the side opposite is yellow (solid).) N Tilted Axes P Pearson Learning Goal: To introduce you to vectors and the use of sine and cosine for a triangle when resolving components. Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector (4) Figure 2 of 3 Indicate the num ber of the figure with the correct orientation. View Available Hint(s) N 1 2 3 Previous Answers Submit Tilted Axes Correct PPearson Review | Constants Correct Learning Goal: To introduce you to vectors and the use of sine and cosine for a triangle when resolving components Part C Vectors are an important part of the language of science, mathematics, and engineering. They are used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector Part D Part E Figure 2 of 3 Now find the components N and Ny of N in the tilted coordinate system of Part B Express your answer in terms of the length of the vector N and the angle 0, with the components separated by a comma. ν ΑΣφ Request Answer Submit Tilted Axes Next> Provide Feedback P Pearson