Figure shows four displacement vectors with magnitude and direction. Start 100 m → X A B 300 m End 200 m 30° 60° 150 m Figure 1 (a) Find out the magnitude and direction of the resultant vector R of these four displacement vectors. (b) Calculate the value of (Ax B) · Č. (c) Calculate the component of vector C along the direction of vector D.

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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.

y-component 7.00 m Vector Magnitude & Direction 8.6m © 54.46oagee 9.5 m @ 342 degrees 7.07 m @ 135 degrees X-component 5.00 m A -2.10 4.99 B 9.00 m -4.99 C a. Fill out the above table for the missing information. 8.6m @54.46 Degrees b. A resultant vector R is found by adding vectors A+B+C. What are the x and y components of the new resultant vector R? 9.00m=Dx -2.6=4 C. What is the direction of the new vector R? LEGO

Given the vectors Ā = (-2î + j) m and B = (4î – j) m. The direction of the resultant vector R = Ả + B is O a. 8 = 180° O b.0 = 90° O c. 0 = 45° O d.0 = 0°

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

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?

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46. ECHALK The three displacement vectors in the drawing have mag- nitudes of A = 5.00 m, B = 5.00 m, and C= 4.00 m. Find the resultant (magnitude and directional angle) of the three vectors by means of the com- ponent method. Express the directional angle as an angle above the positive or negative x axis. PROBLEM 46 Ä 20.0° C B 60.0⁰ +1