Imagine that you have a tennis ball and a baseball at different locations. The center of the tennis ball is at < -3, -1,0 > m, and the center of the baseball is at < 3, 5,0 > m. The position vector of the baseball is B. The position vector of the tennis ball is T. The position vector of the tennis ball relative to the baseball is 7º. Graphing Vectors B 30 25 XN 20 7 15 1.0 R 0.5 7 A Image A✓ best corresponds to the described geometry. 7 ↑ = < Calculate the unit vector f. F: Calculating Vectors (For all blanks below, enter a formula or a numeric answer with three or more decimal places.) Find 7 by reading its value from the picture. 7 = < 曲 Calculate the magnitudes of the following vectors: B: T: C -3-25 -20 -1.5 -1.00 7

Sydney, Tayler and I go out for a short walk together.  We first walked 10 meters 34° South of East, then 20 meters due South, and then 15 meters 42° South of West.  We want to find the overall resultant vector of our total travels.

Two vectors, 7 and 7, are equal: 7 = 7. Which of the following statements are true? (Select all that apply.) The z component of must be equal to the z. component of 7. O The directions of 7 and さ may be different. may be different. must be equal to the y component of 7. The magnitudes of and The y component of The x component of O The unit vector must be equal to the unit vector c. must be equal to the x component of c.

Vector A lies in quadrant 2 of the xy-plane. Vector B lies in quadrant 1 of the xy-plane. In what direction does the vector A x B point? K, -k, j or -j And why?

Given the vectors Ā = (-2î + j) m and B = (4î – j) m. The direction of the resultant vector R = Ả + B is O a. 8 = 180° O b.0 = 90° O c. 0 = 45° O d.0 = 0°

A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and east

Vectors à and B are shown in the figure. Vector Č is given by C = à – B. The magnitude of vector A is 10 m the magnitude of vector B is 12 m. Calculate the magnitude of vectorC. y 60° 370 X

Given the two vectors A = ( 5.5i - 3j) and  B = (-9i - 8j) determine the following: A. Vector C = A + B in vector notation, it's magnitude and its direction counterclockwise from the +x-axis. B. Vector D = A - B in Vector notation, it's magnitude and its direction counterclockwise from the +x-axis.

Two position vectors lie in a plane. The first, vector r points at an angle of 20° below the positive x-axis and has a magnitude of 57.5 m. The second, vector , points at an angle of 55.5° above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of + 78. +y +y magnitude direction FA FB fc 4 FA fc m FB Viewing Saved Mort: Be +X (counterclockwise from the +x-axis) +y +y FB FA ŤA fc fc (b) What is the magnitude and direction of vector re? Give the direction as an angle measured counterclockwise from the positive x- axis? FB +X + X Ad Tha

A = direction of vector 1. Vector A 1.00 i + -2.00 and vector B = 3.00 / B = 3.00 i +4.00 +4.00 j. What are the magnitude and = A + B ? Answer: 4.47 in a direction 26.6° counterclockwise from the positive x axis K