Figure 1 shows vectors Á and B. Vector C (not shown) is defined as: Č = Ã + B Find the magnitude and direction of vector C. State the direction in degrees with respect to the positive x axis. || Figure 1

I 2 BE Suppose you walk 13.0 m straight west and then 21.0 m straight north. How far are you from your starting point, 25 m what is angle of the resultant vector, 57.5 O and what is the compass direction of a line connecting your starting point to your final position? 58 X °W of N

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Two vectors, 7 and 7, are equal: 7 = 7. Which of the following statements are true? (Select all that apply.) The z component of must be equal to the z. component of 7. O The directions of 7 and さ may be different. may be different. must be equal to the y component of 7. The magnitudes of and The y component of The x component of O The unit vector must be equal to the unit vector c. must be equal to the x component of c.

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Q14

m Let B = 5.05 m at 60.0°. C and A have equal magnitudes. The direction angle of Ĉ is larger than that of A by 25.0°. Let A · B = magnitude . . 29.1 m² and B C = 36.3 m². Find the magnitude (in m) and direction (in degrees) of A. direction

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.

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

40. Consider the plane x + 2y – z = 5 and the vector i = 2i - 55 + 3k. (a) Find a normal vector to the plane. (b) What is the angle between i and the vector you found in part (a)? (c) What is the angle between ī and the plane?