Problem 3.1QQ: Which of the following are vector quantities and which are scalar quantities? (a) your age (b)... Problem 3.2QQ: The magnitudes of two vectors A and B are A = 12 units and B = 8 units. Which pair of numbers... Problem 3.3QQ: If vector B is added to vector A, which two of the following choices must be true for the resultant... Problem 3.4QQ: Choose the correct response to make the sentence true: A component of a vector is (a) always, (b)... Problem 3.5QQ: For which of the following vectors is the magnitude of the vector equal to one of the components of... Problem 3.1OQ: What is the magnitude of the vector (10i 10k) m/s? (a) 0 (b) 10 m/s (c) 10 m/s (d) 10 (e) 14.1 m/s Problem 3.2OQ: A vector lying in the xy plane has components of opposite sign. The vector must lie in which... Problem 3.3OQ: Figure OQ3.3 shows two vectors D 1, and D2. Which of the possibilities (a) through (d) is the vector... Problem 3.4OQ: The culling tool on a lathe is given two displacements, one of magnitude 4 cm and one of magnitude 3... Problem 3.5OQ: The magnitude of vector A is 8 km, and the magnitude of B is 6 km. Which of the following are... Problem 3.6OQ: Let vector point from the origin into the second quadrant of the xy plane and vector point from the... Problem 3.7OQ: Yes or no: Is each of the following quantities a vector? (a) force (b) temperature (c) the volume of... Problem 3.8OQ: What is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of... Problem 3.9OQ: What is the x component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e)... Problem 3.10OQ: What is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e)... Problem 3.11OQ: Vector lies in the xy plane. Both of its components will be negative if it points from the origin... Problem 3.12OQ: A submarine dives from the water surface at an angle of 30 below the horizontal, following a... Problem 3.13OQ: A vector points from the origin into the second quadrant of the xy plane. What can you conclude... Problem 3.1CQ: Is it possible to add a vector quantity to a scalar quantity? Explain. Problem 3.2CQ: Can the magnitude of a vector have a negative value? Explain. Problem 3.3CQ Problem 3.4CQ Problem 3.5CQ Problem 3.1P: The polar coordinates of a point are r = 5.50 in and = 240. What are the Cartesian coordinates of... Problem 3.2P: The rectangular coordinates of a point are given by (2, y). and its polar coordinates are (r, 30).... Problem 3.3P: Two points in the xy plane have Cartesian coordinates (2.00, 4.00) m and (3.00, 3.00) m. Determine... Problem 3.4P Problem 3.5P: The polar coordinates of a certain point are (r = 4.30 cm, = 214). (a) Find its Cartesian... Problem 3.6P: Let the polar coordinates of the point (x, y) be (r, ). Determine the polar coordinates for the... Problem 3.7P: A surveyor measures the distance across a straight river by the following method (Fig. P3.7).... Problem 3.8P: Vector A has a magnitude of 29 units and points in the positive y direction. When vector B is added... Problem 3.9P: Why is the following situation impossible? A skater glides along a circular path. She defines a... Problem 3.10P: A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the... Problem 3.11P: The displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m. The direction... Problem 3.12P: Three displacements are A=200m due south, B=250m due west, and C=150m at 30.0 east of north. (a)... Problem 3.13P: A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.0 above the... Problem 3.14P: A plane flies from base camp to Lake A, 280 km away in the direction 20.0 north of east. After... Problem 3.15P: A vector has an x component of 25.0 units and a y component of 40.0 units. Find the magnitude and... Problem 3.16P: Vector has a magnitude of 35.0 units and points in the direction 325 counterclockwise from the... Problem 3.17P: A minivan travels straight north in the right lane of a divided highway at 28.0 m/s. A camper passes... Problem 3.18P: A person walks 25.0 north of east for 3.10 km. How far would she have to walk due north and due east... Problem 3.19P: Obtain expressions in component from for the position vectors having the polar coordinates (a) 12.8... Problem 3.20P: A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and... Problem 3.21P: While exploring a cave, a spelunker starts at the entrance and moves the following distances in a... Problem 3.22P: Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have... Problem 3.23P Problem 3.24P: A map suggests that Atlanta is 730 miles in a direction of 5.00 north of cast from Dallas. The same... Problem 3.25P: Your dog is running around the grass in your back yard. He undergoes successive displacements 3.50 m... Problem 3.26P: Given the vectors A=2.00i+6.00j and B=3.00i2.00j, (a) draw the vector sum C=A+B and the vector... Problem 3.27P: A novice golfer oil the green takes three strokes to sink the ball. The successive displacements of... Problem 3.28P: A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto... Problem 3.29P: The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the... Problem 3.30P: In a game of American football. a quarterback takes the ball from the line of scrimmage. runs... Problem 3.31P: Consider the three displacement vectors m, m, and m. Use the component method to determine (a)... Problem 3.32P: Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R has x and y... Problem 3.33P Problem 3.34P Problem 3.35P: Vector A has a negative x component 3.00 units in length and a positive y component 2.00 units in... Problem 3.36P: Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following... Problem 3.37P Problem 3.38P: Three displacement vectors of a croquet ball are shown in Figure P3.22, where A=20.0 units, B=40.0... Problem 3.39P: A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude... Problem 3.40P: Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements... Problem 3.41P: Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a)... Problem 3.42P: A radar station locates a sinking ship at range 17.3 kin and bearing 136 clockwise from north. From... Problem 3.43P: Review. As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 60.0... Problem 3.44P: Why is the following situation impossible? A shopper pushing a cart through a market follows... Problem 3.45P: Review. You are standing on the ground at the origin of a coordinate system. An airplane flies over... Problem 3.46P: In Figure P3.33, the line segment represents a path from the point with position vector (5i+3j)m to... Problem 3.47P: In an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward... Problem 3.48AP: A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a... Problem 3.49AP: As she picks up her riders, a bus driver traverses four successive displacements represented by the... Problem 3.50AP: A jet airliner, moving initially at 300 mi/h to the east, suddenly enters a region where the wind is... Problem 3.51AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four... Problem 3.52AP: Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from... Problem 3.53AP: Review. The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian... Problem 3.54AP: An air-traffic controller observes two aircraft on his radar screen. The first is at altitude 800 m,... Problem 3.55AP: In Figure P3.55, a spider is resting after starting to spin its web. The gravitational force on the... Problem 3.56AP: The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of... Problem 3.57AP: A vector is given by R=2i+j+3k. Find (a) the magnitudes of the x, y, and z components; (b) the... Problem 3.58AP: A ferry transports tourists between three islands. It sails from the first island to the second... Problem 3.59AP: Two vectors A and B have precisely equal magnitudes. For the magnitude of A+B to be 100 times larger... Problem 3.60AP: Two vectors A and B have precisely equal magnitudes. For the magnitude of A+B to be larger than the... Problem 3.61AP: Lei A = 60.0 cm at 270 measured from the horizontal. Let B = 80.0 cm at some angle . (a) Find the... Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of... Problem 3.63AP: Review. The instantaneous position of an object is specified by its position vector leading from a... Problem 3.64AP: Ecotourists use their global positioning system indicator to determine their location inside a... Problem 3.65AP: A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a... Problem 3.66AP: Vectors A and B have equal magnitudes of 5.00. The sum of A and B is the vector 6.00j. Determine the... Problem 3.67CP: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0... format_list_bulleted