Question

 Express the force vector shown in the picture as a Cartesian Vector and determine the value of the third direction angle. Enter each vector component as a number with 3 significant figures and include the sign of the unit vector as part of the numerical value. Enter the direction angle as a whole angle (no decimal). For example; γ-38" or β-123° Givens: · F=10lb * β=57" k Ib Click Save and Submit to save and submit.

Answer 1

cos alpha + cos beta + cos r = 1 cos 43 + cos 57 + cos r = 1 cos r = -0.2759 t = cos^-1 (-0.2759) r = 106 degree F = 10 (cos 43 i + cos 57 j + (cos 106 k)) F = 10 (0.73 i + 0.54 j + 0.27 k) F = (7.3i + 5.4 j + 2.7 k) lb.