Ө 10 Ĉ 135° B A ppose that the magnitude of À is 36.0 km and the magnitude of Ĉ is 25.0 km. If the total splacement vector Ď has a magnitude of 62.0 km, determine the angle (which gives the rection of D) and determine the magnitude of B.

Consider two vectors, A, which points along the +x direction with a magnitude of 3 units andvector B, which points 20o from the +y axis with a magnitude of 4 units as shown in Figure 1.a) Find the magnitude of the vector, B − A.b) Find the vector C so that A + B + C = 0.

Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – B

Vector D = A+ B - C, where Ax=22, Ay= -12, Bx =5, By=-9, and C has a magnitude of 35 and points at +45 degrees. Use the analytical component method to calculate for Dx, Dy, and the angle of D.

0 аф sin þa, + tan— Înr aº at P(2‚ñ/2,3/2). Determine If A = r sin 0 cosa, - cos 20 sin þaŋ + tan cos 20 the vector component of A that is parallel to az (express your answer in spherical coordinates)

9. Please help answer this question, thank you so much! :)

Vector A = 3.2 m 30o N of E, Vector B is 5.0 m 10o W of S, and vector C is 2.0m E. Find the vector sum of A, B and C (magnitude and direction).

A pilot needs to fy to a destination 350 km north of his current position in 2.0 hours. An air traffic controller tells him that the wind velocity (as seen on the ground) is 27 km/h [E34 °S]. a) Sketch the overall vectors of the plane to the ground, the plane to the air and the air to the ground. Write the equation for the velocity of the plane relative to the ground with the appropriate subscripts. b) What is the minimum speed that the pilot would need to fly if there was no wind? c) Determine the heading of the plane (in what direction must the pilot fly to compensate for the wind?). Show your work. Label your vectors and label x and y components. d) Determine the speed of the plane with respect to air that the pilot would need to take in order to reach the desired destination on time.

Given that vector a = 2i + j and c = i + jFind the orthogonal components of the vector a parallel to and perpendicular to the vector c.

Add these vectors and give just the magnitude and after adding vectors you find that the x component of the resultant is -16 and y comp is 7. Find the direction of the resultant( in other words fix the angle) 14