Can a vector have a component equal to zero and still have nonzero magnitude? Explain. Can a vector have zero magnitude if one of its components is nonzero? Explain.

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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.

1. Drag 5 arrows, with random (desired) magnitude and direction, to the plane and find its resultant vector. MAGNITUDE DIRECTION (Units) (standard angle) Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Resultant Vector

Let vector E = (4 i + 4 j) and vector F = (3 i - 9 j). Find the magnitude of E + F.  Find the magnitude of -E - 2F

I'm confused about number #16 and #17

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

E. (-4m)i+ (7m)j ans: A 24. In the diagram, A has magnitude 12 m and B has magnitude 8 m. The a component of Ã+ B is about: 60° 45° A. 5.5 m B. 7.6 m C. 12 m D. 14 m E. 15 m ans: C 25. A certain vector in the ry plane has an x component of 4 m and a y component of 10 m. It is then rotated in the ry plane so its x component is doubled. Its new y component is about: А. 20 m В. 7.2 m C. 5.0m D. 4.5 m E. 2.2 m ans: B 26. Vectors à and B each have magnitude L. When drawn with their tails at the same point, the angle between them is 30°. The value of A ·B is: А. zero В. L? C. V3L2/2 D. 2L2 E. none of these ans: C 32 Chapter 3: VECTORS

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The two vectors A and B have the same magnitude are shown in the figure. In which case (or cases) vector A is not equal to vector B?