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Chapter 3: Q. 2b (page 77)

Trace the vectors in FIGURE EX3.2 onto your paper. Then find

(a) A鈫�+B鈫�and (b) A鈫�鈭�B鈫�

Short Answer

Expert verified

Part (a)

Part (b)

Step by step solution

01

Part (a)

Place the tail of vector B鈫�on the tip of vector A鈫�and then connect the tail of vector A鈫�with the tip of the vector B鈫�as shown below


02

Part (b)

To find A鈫�鈭�B鈫�=A鈫�+(鈭�B鈫�), place the tail of vector 鈭�B鈫�on the tip of vector A鈫�and then connect the tail of A鈫�vector with the tip of the vector (鈭�B鈫�)as shown below:

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Most popular questions from this chapter

II Ruth sets out to visit her friend Ward, who lives north and east of her. She starts by driving east, but after she comes to a detour that takes her south before going east again. She then drives east for and runs out of gas, so Ward flies there in his small plane to get her. What is Ward's displacement vector? Give your answer (a) in component form, using a coordinate system in which the -axis points north, and (b) as a magnitude and direction.

| The treasure map in FIGURE P3.40 gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 500 paces, then due east for 100 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 300 paces you see an opening through the woods. Which direction should you go, and how far, to reach the treasure?

II The minute hand on a watch is2.0cmin length. What is the displacement vector of the tip of the minute hand

a. From \(8: 00\) to \(8: 20\) A.M.?

b. From \(8: 00\) to \(9: 00\) A.M.?

45. II FIGURE P3.45 shows four electric charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite charges attract. Charge B exerts a repulsive force (directly away from B) on charge A of 3.0N. Charge C exerts an attractive force (directly toward C) on charge A of 6.0N. Finally, charge D exerts an attractive force of 2.0Non charge A. Assuming that forces are vectors, what are the magnitude and direction of the net forceF鈫�net exerted on charge A?

Let A鈫�=4i^鈭�2j^, B鈫�=鈭�3i^+5j^and C=A+B.

a. Write vector C鈫�in component form.

b. Draw a coordinate system and on it show vectorsA鈫�,B鈫�, andC鈫�.

c. What are the magnitude and direction of vector C鈫�?
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