Complete the following assignment and submit your work to the dropbox. 1. If a=(5,−5,3),b=(1,2,3), determin proj =(a ont

[answerhappygod]

Complete The Following Assignment And Submit Your Work To The Dropbox 1 If A 5 5 3 B 1 2 3 Determin Proj A Ont 1 (45.95 KiB) Viewed 36 times

Complete the following assignment and submit your work to the dropbox. 1. If a=(5,−5,3),b=(1,2,3), determin proj =(a onto b). 2. If a=(2,2k),b=(4,−k), are perpendicular, solve for k. 3. Suppose a box on a frictionless ramp is being pulled by a rope with a tension of 350Nmaking an angle of 50∗ to the horizontal ground. If the angle of incline of the ramp is 20∘, and the box is pulled 5 m, determine the amount of work done. Hint: Draw a diagram and use vectors to represent the situation. 4. Two math students erect a sun shade on the beach. The shade is 1.5 m tall, 2 m wide, and makes an angle of 60∘ with the ground. What is the area of shade that the students have to sit in at 12 noon (that is; what is the projection of the shade onto the ground)? (Assume the sun's rays are shining directly down). 5. Show that proj​⋅b=(b⋅ba⋅b​)b.