A displacement vector A has scalar components a). What is the magnitude of vector ? (b). What is the angle vector A makes with the positive x-axis measured counterclockwise? (a).8.9m (a). 7.44 m (a). 5.62 m (a). 7.44 m x (a). 744 m (b). 1870 (b). 1270 (b). 1930 (b). 1930 A, = -7.26m A, = -1.64m (b). 12.70

2. A vector has a magnitude of 7.20 m and an angle of -32.5°. Write this vector in unit vector notation.

Vector A has a positive x component of 5.00 m and a negative y component of 3.00 m. Determine the magnitude and direction of i) vector A. ii) vector B which when added to vector A will give zero resultant vector. Sketch vector A and vector B.

Convert the following Vectors given in polar coordinates (r, q) to the equivalent Vector in cartesian coordinates (x, y). Check significant figures.     C =  (12.0, 34) b.      F = (5.00, 45.0o )

A map suggests that Atlanta is 730. miles in a direction 5.00°north of east from Dallas. The same map shows that Chicagois 560. miles in a direction 21.0° west of north from Atlanta.Figure P1.68 shows the location of these three cities. Modelingthe Earth as flat, use this information to find the displacementfrom Dallas to Chicago.

Vector R is defined as the vector sum of vectors A and D (R = À + D) shown below. Whatare the vector components of vector R?

While in an adventure, to search for a mammoth bone in a dessert, a man walks 47 m towards East, then goes 31 m in the direction of West of North making an angle of 11° and finally he walks 22 m towards South to reach the destination. Calculate, a. Total X-Component of the Resultant Vector, Rx = b. Total Y-Component of the Resultant Vector, Ry= c. Magnitude of the Resultant vector R = d. Direction of the resultant vector 0 = in the direction of m m m

Vector A has a magnitude of 38 units and points in the positive y direction. When vector B is added to A, the resultant vector A + B points in the negative y direction with a magnitude of 12 units. Find the magnitude and direction of B. magnitude unit(s) direction counterclockwise from the +x-axis Need Help? Read It

26. A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Modeling the Earth as flat, use this informa- tion to find the displacement from Dallas to Chicago.

Three vectors are given as: A = 3â – 9âỹ B = 7ââ + 10ŷ C = 4⣠+ 5ÿ+ 62 These three vectors are used to define a parallelepiped. (a) What is the volume of the parallelepiped? (b) What is the surface area of the parallelepiped?