63 Here are three vectors in meters: d = d2 = -3.0i +3.0j + 2.0k -2.0i-4.0j + 2.0k dz=2.01 + 3.0j + 1.0k. What results from (a) d, (d, + d), (b) d (d x d), and (c) đ, x (d, + d)? p).'P
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- Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13Here are three vectors in meters. d1 = -3.0î + 3.oĵ+ 2.0k d2 = -6.0î – 7.oĵ + 8.0k d3 = 6.0î + 4.0 j + 1.0k. What results from the following products? (a) di (d, + d3) m2 (b) d1 . d2 xd3) m3 (c) d1 x (d2 + d3) (Express your answer in vector form.) m2Given vector U=2ï+3j°and vector W=5j, , what is 3U+W? O 6i+14j O lli-9j O 6i-14j O lli+9j Next PREDE
- Q1 B: Consider these two vectors A-2i+3j+5k and B=5i+3j+10k, find the following D=AXB a-D=11i+2j-15k b-D=5i+9j-11k c-D=3i-7j+5k d-D=15i+5j-9kThree vectors are given by d = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.0oî + (-1.00)ĵ + (3.00)k, an ở = 0î + (4.00)ĵ +(-4.40)k. Find (a) a : (6 x ở ), (b) a(b + 7 ),(c) x-component, (d) y-component, and (e) z-component of á x( b + ć respectively. (a) Number i Units This answer has no units (b) Number i Units This answer has no units (c) Number i Units This answer has no units (d) Number i Units This answer has no units (e) Number i Units This answer has no unitsHere are three vectors in meters: d1 = -6.60î + 8.70ĵ + 3.50k d 2 = - 2.00î – 4.00ĵ + 2.00k d 3 = 2.00î + 3.00ĵ + 1.00k What results from (a) đ1· ( đ 2 + đ 3 ), (b) đ 1 · ( đ 2 × đ 3), and d 1 x ( d 2 + d 3 ) (c), (d) and (e) for i,j and k components respectively)? (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Units
- 22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):The displacement vectors and B shown in Figure P3.9 magnitudes 3.00 m. The direction of vec- both have of 30.0°. Find gra- tor A is 0 phically (a) A+ B, (b) Ả-B, (с) В — А, and (d) A — 2B. (Report all angles counterclock- wise from the positive x axis.)An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?
- Two vectors are given by đ = 1.3î + 1.8ĵ and b = 7.9î + 1.6j. Find (a) đ x b (b) ở . b ,(c)(a + b and (d) the component of d along the direction of b ? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number Units > > > >17. Consider three displacement v (3î – 3j) m, B = (i – 4j) m, and C = (-2î + 5j) m. the component method to determine (a) the magnitude and direction of D = A + B + C and (b) the magnitude and direction of E = -A - B + C. the vectors A Use49. Given two displacement vectors A = (3.00 i – 4.00 j +4.00k )m and B = (2.00 i + 3.00 j - 7.00 k )m, find the displacements and their magnitudes for (a) C = Ả + B and (b) Ď = 2 Ả - B.