Q1: A position vector has a length of 40 m and is at an angle of 57° above the x- axis. Find the vector's components.

In a design, a line is constructed by connecting PO(2,2,2) and P1(6,6,11), and point P2(2,3,13) is defined. If point P2 is rotated about the axis POP1 anti clockwise by 60 degrees. Find the coordinate of the point P2 at the new location and verify your result by using SolidWorks. X Xp Z Z₂ 0 P P₂ Y₁ 5 P₁

(a) Suppose you know the coordinates of two points A and B. How do you determine the scalar components of the position vector of point B relative to point A? (b) During the construction of a bridge, a bracket shown in Figure 1 was used to temporarily hold two cables FA and Fg = 600 N. After a while, you noticed that the bracket is shaking and slowly being pulled out of the wall by the cables. Given that e = 20°, find the resultant force and its direction counter clockwise from the positive y axis. FA 700 N 30 A Figure 1

After the web meeting, submit this document on Canvas Undel ne Meeting Assignment. This is an individual submission. TAE %3D Follow the steps below to express the force F, as a vector using the format: F, = F 1. Write the position vector: TAE = 4 ft 4 ft F = 300 lb 6 ft 6 ft 2. Find the magnitude of the position vector: 6 ft TAE = F = 400 lb 3. Find the unit vector by dividing the position vector by its own magnitude: NAE = 4. Write the force vector: F1 =FinAE =

Need some assistance with this.  l = 1.95 mm.    w= 1.89 mm.    h= 5.82 m.  Coordinates for Point A is A(2,2,2)m Coordinates for Point D is D(2.25,2.5,0)m Force F acts along  EA, (Magnitude is 55N) Force P acTS along AD      1. What is force F in Cartesian Vector form.  (Fx, Fy, Fz)  2. If we are calculating the moment that Force F creates about point B,  WHAT vectors will be used ?  3. If we are calculating the moment that Force P creates about point B , WHAT vectors will be used ?  4. What is BC as position vector rBC.  ( rBCx, rBCy, rBCz ) 5. What is BC as unit vector uBC. (uBCx, uBCy, uBCz ) 6. What is the moment that F creates around B ? (MB) 7. What is the magnitude of the moment that F creates around axis BC. ( |MBC|  )

Consider the vectors à = 3£ + 2y + 2, B = −2+ý-22 y C = â + 2y +42 Express the following vectors in their Cartesian coordinates. S=AxC+BxC

Consider the following vector: • J= 17 @ 195° What is the x component of J? 17 @ 195° 16.42 @ 90° 17 @ 15° O 17 @ 180° (10, 16.42) O -16.42 @ 180° (0,17) 16.42 @ 180° 16.42 @ 0° 16.42 @ 195° 16.42 @ 15° O (17,0)

A point P is located at (0 0 100) in a body coordinate frame. If the rigid body rotates 60deg about the global X-axis and the origin of the body translates to (X, Y, Z)=(500, 0 600), find the final position (X2, Y2, Z2) in the Global frame by using 4X4 matrix.

The magnitude of a vector is 6 and the y-coordinate is triple the x-coordinate. Determine the coordinates of the vector.

if a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")