Brenda goes out for a nice, leisurely walk. She begins by travelling 19 km due east, and then follows up by travelling 15 km in a direction 40◦ north of west. Determine the magnitude and direction of her displacement vector during the walk. Be sure to draw a vector diagram showing how you added the displacement vectors.

) An object follows as shown below. What is the displacement from the last point to the starting point? Express your answer (a) in unit vector notation, and (b) as a magnitude and direction.

Component Method: With your calculator, determine the x and y components of F1 and F2. Remember that Fx = Fcos θ and Fy = F sin θ. Find the x and y components of the resultant from the sum of x and y components. Draw a right triangle with x and y components as sides, and the hypotenuse representing the resultant. Calculate the magnitude of the resultant from the square root of (Rx2 + Ry2). Calculate the direction of the resultant by using θ R = tan-1 (Ry/Rx).

A vector force of F1 of 3N is due West , and a vector force of F2 of 8 N is directed in 40 degrees East of South. a. Draw each vector; calculate their components, and use the component method to determine the magnitude and the direction of the resultant vector F = F1 + F2 .

Find the magnitude and direction of each vector. (See photos for vectors A and B). Find the magnitude and direction for vector A + B.

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W S E Final position What is the resultant displacement from the entrance? magnitude direction m ° south of east

Vector R has a magnitude of 10 m. Its z component is 8 m. What are the possible values for its y component? Express your answer in meters. If there is more than one answer, separate them by a comma.

Vector A has a magnitude of 15.5 and its direction is 320° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay

Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of  west).  Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east.  b. Write A, B, and C in component form, using unit vectors.  c. Find the magnitude and the direction of D = A + B+ C.

Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.