In the figure, which of the indicated methods for combining the x and y components of vector a are proper to determine that vector? a, a, a a (a) (b) (c) a, a, a, a. ay a, (d) (e)

F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2 ? * The magnitude of the vector is F2 = 1.5N. What is the rec tan gular component of vector F2? O (1.5N cos 65°) i + (1.5N cos 35°) j O (1.5N cos 35°) i + (1.5N cos 55°) j O (1.5 N) i + ( 1.5N ) j O (1.5N cos 55°) i + (1.5N cos 35°) j

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.

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.

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B U Bx = 12.2 cm. Consider vector B pictured below and the given length for Bx = 12.2cm and 0 = 24.0 What is the length (the hypotenuse) of vector B ? 2 51

Need help with question 2: Add the following vectors using the component method. Give your answer in both component form and polar coordinate form. Make a sketch to represent each problem by drawing both vectors and the resultant.

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.

DI B C Which of these vectors, if any, is considered the resultant, R? none of these can be considered a resultant vector. ΟΑ ОВ