Problem 1CV: A ________ is a quantity that has both magnitude and direction. Problem 2CV: If v is a vector, then v+( v )= ___. Problem 3CV: A vector u for which u =1 is called a(n) _______ vector. Problem 4CV: If v= a,b is an algebraic vector whose initial point is the origin, then v is called a(n) _______... Problem 5CV Problem 6CV Problem 7CV: True or False Force is an example of a vector. Problem 8CV: True or False Mass is an example of a vector. Problem 9CV: If v is a vector with initial point ( x 1 , y 1 ) and terminal point ( x 2 , y 2 ) , then which of... Problem 10CV Problem 11SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 12SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 13SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 14SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 15SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 16SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 17SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 18SB: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 19SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 20SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 21SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 22SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 23SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 24SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 25SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 26SB: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 27SB Problem 28SB: If v =2 , what is 4v ? Problem 29SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 30SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 31SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 32SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 33SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 34SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 35SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 36SB: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 37SB: In Problems 37-42, find v . v=3i4j Problem 38SB: In Problems 37-42, find v . v=5i+12j Problem 39SB: In Problems 37-42, find v . v=ij Problem 40SB: In Problems 37-42, find v . v=ij Problem 41SB: In Problems 37-42, find v . v=2i+3j Problem 42SB: In Problems 37-42, find v . v=6i+2j Problem 43SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 2v+3w Problem 44SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 3v2w Problem 45SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . vw Problem 46SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v+w Problem 47SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v w Problem 48SB: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v + w Problem 49SB Problem 50SB: In Problems 49-54, find the unit vector in the same direction as v . v=3j Problem 51SB Problem 52SB Problem 53SB: In Problems 49-54, find the unit vector in the same direction as v . v=ij Problem 54SB: In Problems 49-54, find the unit vector in the same direction as v . v=2ij Problem 55SB Problem 56SB Problem 57SB: If v=2ijandw=xi+3j , find all numbers x for which v+w =5 . Problem 58SB: If P=( 3,1 )andQ=( x,4 ) , find all numbers x such that the vector represented by PQ has length 5. Problem 59SB Problem 60SB Problem 61SB Problem 62SB Problem 63SB Problem 64SB Problem 65SB Problem 66SB Problem 67SB Problem 68SB Problem 69SB Problem 70SB Problem 71SB Problem 72SB Problem 73AE Problem 74AE: Force Vectors A man pushes a wheelbarrow up an incline of 20 with a force of 100 pounds. Express the... Problem 75AE Problem 76AE Problem 77AE: Finding the Actual Speed and Direction of an Aircraft A Boeing 747 jumbo jet maintains a constant... Problem 78AE: Finding the Actual Speed and Direction of an Aircraft An Airbus A320 jet maintains a constant... Problem 79AE Problem 80AE Problem 81AE Problem 82AE: Weight of a Car A magnitude of 1200 pounds of force is required to prevent a car from rolling down a... Problem 83AE: Correct Direction for Crossing a River A river has a constant current of 3 km/h. At what angle to a... Problem 84AE: Finding the Correct Compass Heading The pilot of an aircraft wishes to head directly east but is... Problem 85AE: Charting a Course A helicopter pilot needs to travel to a regional airport 25 miles away. She flies... Problem 86AE: Crossing a River A captain needs to pilot a boat across a river that is 2 km wide. The current of... Problem 87AE: Static Equilibrium A weight of 1000 pounds is suspended from two cables, as shown in the figure.... Problem 88AE: Static Equilibrium A weight of 800 pounds is suspended from two cables, as shown in the figure. What... Problem 89AE: Static Equilibrium A tightrope walker located at a certain point deflects the rope as indicated in... Problem 90AE: Static Equilibrium Repeat Problem 89 if the angle on the left is 3.8 , the angle on the right is 2.6... Problem 91AE: Static Friction A 20-pound box sits at rest on a horizontal surface, and there is friction between... Problem 92AE: Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal... Problem 93AE: Inclined Ramp A box sitting on a horizontal surface is attached to a second box sitting on an... Problem 94AE Problem 95AE: Truck Pull At a county fair truck pull, two pickup trucks are attached to the back end of a monster... Problem 96AE: Removing a Slump A farmer wishes to remove a stump from a field by pulling it out with his tractor.... Problem 97AE Problem 98AE: Computer Graphics Refer to Problem 97. The points (3,0),(1,2),(3,1),and(1,3) are the vertices of a... Problem 99AE: Static Equilibrium Show on the following graph the force needed for the object at P to be in static... Problem 100DW: Explain in your own words what a vector is. Give an example of a vector. Problem 101DW: Write a brief paragraph comparing the algebra of complex numbers and the algebra of vectors. Problem 102DW: Explain the difference between an algebraic vector and a position vector. Problem 103RYK: Problems 103-106 are based on material learned earlier in the course. The purpose of these problems... Problem 104RYK: Problems 103-106 are based on material learned earlier in the course. The purpose of these problems... Problem 105RYK: Problems 103-106 are based on material learned earlier in the course. The purpose of these problems... Problem 106RYK: Problems 103-106 are based on material learned earlier in the course. The purpose of these problems... format_list_bulleted