e. A force acts along a line connecting point 1 ( -14,58,71 ) ft. and point 243,-13,34 ) ft. What is the position vector in cartesian form between point 1 and 2? (X2 Y21 Z₂) X F f. What is the unit vector in cartesian form between point 1 and 2? Z (x, y, z) g. What is the Force vector in cartesian form if the magnitude of the force is 306 lb? y

N value (x,y,z): 10,14,17 In case you can't read the given values on the picture: B: (6,7,8) C: (5,12,13) Find: 4. What is the resultant of vectors of AB and AC. Express resultant in rectangular form. 5. Let R be the resultant vector of vectors AB and AC, what is the measurement of the angle from the positive x-axis, y-axis and z-axis to the line of action of the resultant vector? Express the answer in deg. unit. 6. What are the unit vectors that are orthogonal to the plane where vectors AB and AC lie and at the same time passes at point A? Express these two vectors in rectangular vector form.

The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.

5. Consider the right-handed coordinate system below. The force F = 800 N has its line of action passing from A to B. If we resolve the force into its componets parallel and perpendicular to AC, what is the vector component parallel to AC?. F = 800 N m C 4 m 4 m 3 m 2 m 14 m x B A) {540.3i-443.65j} N B) {332.511-236.624j} N m C) {178.3i-779.881) N D) {181.731-484.621} N