Problem: A dog, in following a lizard, goes 7 meters east, turns 9 meters north, and then goes 14 meters west. Find the magnitude and direction of the dog’s resultant displacement using the graphical method

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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#1 Consider two vectors: E1 with magnitude 7 N/C and at an angle of 20 degrees above the positive xdirection, and E2 with magnitude 5 N/C and at an angle of 30 degrees to the left of the positive ydirection. (a) Visualizing vector sums: Draw a vector sum diagram illustrating the sum EN = E1 + E2 andanother of the vector difference E1 = EN − E2. Make sure to label your arrows. Please makethe diagram as close to scale as possible (use a ruler to measure, or use a program that lets youdraw accurately.) (b) Interpreting vector diagrams: From the diagram, should the magnitude of the sum be larger orsmaller than 7 N/C? From the diagram, predict the general direction of the sum, within 1/8 ofa circle (for instance, between 0 and 45 degrees above the x axis, etc.) Note, this is one goodway to check your own answers when working with vectors. (c) Calculating vector components and sums: Compute the components and then the magnitude anddirection of the sum. For direction, we want the angle…

Question 6 B0/1 pt 5 20 Hint 1 Hint 2 Suppose you walk 29 m straight west and then 29 m straight north. Answer all questions assuming the +x - axis is to the east. • How far are you from your starting point? D = • What is your displacement vector? ÿ) m • What is the direction of your displacement? degrees relative to the + axis. Question 7 C0/1 pt 5 20 n 10

Vector A, which is directed along an x axis, is to be added to vector B, which has a magnitude of 2.30 m. The sum is a is directed along the y axis, with a magnitude that is 4.90 times that of A. What is the magnitude of A? Number i Units