1. Given: Vector D, with horizontal and vertical components: 20 in and 30 in, respectively. Vector D2 with horizontal component 20 in at 150° True north. Vector D3. is the displacement of an object which moved at 10 in/min for 4min due South. Reg'd: a. Draw the three displacements (D1 D2, D3) and the resultant displacement D in one Cartesian plane b. Determine the vertical and horizontal components of each displacement: Dix. Dry D2x Dzy D3x Day c. Components of the resultant vector D d. Magnitude of the resultant vector D e Direction 8 of the resultant vector D

The magnitude of two displacement vectors are d and 2d, and themagnitude of the total displacement is also d √3 . What is the anglebetween these two displacement vectors?a.3π/4b. π/4c. 2π/3d. π/2

1. At a golf course, a par 3 hole is 80 meters 15 degrees east of south from the tee. Your first shot is 70 meters but 10 degrees west of south. a. How far are you from the hole after the first shot. b. What direction should you hit your shot to get the ball in the hole. Give angle relative to a compass direction, i.e., 5 degrees north of east. Start by drawing the vectors in involved (with arrows). Use your diagram to determine the relation between the three vectors.

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

6. A car travels 6 km due east and then 4 km in a direction 120° north of east. Find the magnitude and direction of the car's displacement vector.

Q No.3: Two vectors a and b have equal magnitude of 12.7 units. They are oriented as shown in Figure-1.and their vector sum is r. Find (a).the x and y components of r. (b).the magnitude of r, and (c).the angle r makes with the +x axis. Q.No.4. Two vectors of magnitude a and b make an angle 0 with each other when placed tail to tail. Prove by taking components along two perpendicular axis ,that the magnitude of their sum is r= y Va? +b? + ab cos 6 Q.No.5. What minimum force F applied horizontally at an axle of the wheel in Figure-2 is necessary to raise the wheel over an object obstacle of height h? Take r as the radius of the wheel and W is its weight. Q.No.6.One of the uniform beam weighing 52.7 lb and 3.12 ft long is attached to a wall with a hinge. The other end is supported by a wire making an angle of 270 with the beam and wall. (a).Find the tension in the wire. (b).compute the horizontal and vertical components of the force on the hinge. Figure-3 K 1050 270 h a 28.20 270 Figure-2…

3. A hiker walks 1.5 km at an angle of 48 degrees north of east 7, and then hikes 3.0 km at an angle of 30 degrees north of west . What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph. Magnitude (from graph): Direction (from graph): Magnitude (mathematical): Direction (mathematical):

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3. Your pet cat is playing around in the living room and performs the following displacements: 80 cm north, 55 cm east, and then 60 cm at 30° south of east. Determine the magnitude and direction of the fourth displacement of your cat if A. She is to arrive at her initial location. B. Her resultant displacement is 20 cm at 75° south of west from her initial location.

2. I need it now with complete solution please. Thank you.