Please solve all of these questions for me and show ALL of your work written down on paper neatly. Please follow the requirements at the top as well. (Zoom in if you need to)Thank you!
MCV40 - VECTORS 1 NAIVIC UMIC ASSIGNMENT VECTOR 1 ASSIGNMENT (23 marks) For this assignment, the following must be included as part of solutions for questions #1, #2, #3, and #6: 1) Diagram (i.e. sketch). It's recommended that angles be drawn using a protractor as part of sketch. Must include labels for lengths and angles Equation 3) Substitution of values Intermediate steps String number response Final response with therefore statement i) Round responses to 1 decimal place 11) Round angles to nearest degree in Include units of measurement. If there are no units specified, use the word "units" ABSOLUTE DEADLINE: Thursday, February 24, 2022 (submit before the beginning of class) (*Note: Additional Submission Requirements for Handwritten Responses are listed in Agenda posted on Tuesday. February 22, 2022) #1. (3 marks) An aircraft control tower T is tracking two planes at points A, 3.5 km from T. and B, 6 km from T. If ZATS - 70". determine the distance between the planes. #2. (3 marks) Three ships are at points A, E, and C such that AB = 2 km, AC = 7 km, and ZBAC - 142%. What is the distance between B and C? #3. (3 marks) A ruff truss is 10.4m wide and the angles formed by the roof beams are 19" and 23" Determine the length of one of the roof beams? (Note: In your diagram, identify the beam you are solving) #4. (4 marks) Draw a vector to represent the following. Include scale with diagram. As such, drawings are scaled diagrams. the velocity of a fishing boat travelling at 8 I nots on a heading of $75 W (A knot is a speed of one nautical mile per hour) b. the position of a city intersection 7 blocks cast and 3 blocks south of your present position the displacement of a crate that moves um up a comeyor bell inclined at an angle of 18" d one car travelling 75 kan/h passes another going 50 km/h in the opposite direction. Page 1 of 2 #5. (4 marks) The points A, B. C. D. E, F, and G are equally spiced along a line. Name s vector which is equal to 3. 3 BD b. TEA C . 2DF d. -2AD #6. (6 marks) A small aircraft, on a true bearing of 225", is cruising at 150 km/h. It is encountering a wind blowing from a true bearing of 315" at 35 kan/h. Determine the aircraft's ground velocity (including direction). Include a scaled diagram with algebraic solution
