Given the displacement vectors A= (4.00 î - 8.00 j+ 5.00 k) m and B = (1.00 î + 9.00 j – 6.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = A +B iC = C = i+ k) m (b) D = 2Ã -5 IDI m D-
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- A B D PleaseGiven the displacement vectors A = (8.00 î – 3.00 ĵ + 3.00 k) m and B = (8.00 î + 5.00 ĵ – 1.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = A + B |C| = c = ( Ď (b) |D| = = = 2A - B ( m Î + m Î + + Ĵ+ Ĵ+ k) m < k) mThe figure shows two vectors, A→ and B→, whose magnitudes are AA = 6.7 and BB = 5.1. Determine C→ if Part a C→=A→+B→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis. Part B C→=A→−B→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis. Part C C→=B→−A→. Express your answer using three significant figures. Assume positive sign for the positive direction of the x-axis and negative sign for the negative direction of the x-axis.
- a/ What is scalar component of vector W in direction of vector P? b/ Smallest angle vector P makes with unit vector z?82. Find the scalar components of three-dimensional vectors Gand H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes. 60° 45° G = 10.0 145 30° H = 15.0 10Dot Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j, find A-B
- Answer the question using graphical method (polygon method). No solutions are needed since what you need is to simply plot and measure the vectors.Answer a,b, and cWhich of the following statements about the given vectors is FALSE? Please refer to the picture for the choices. A = 2i +kB = -5i -7kC = 9i - j + k
- The force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 590 N, 0 = 31° Answers: F = (i Fx= i Fy || IM F i+ N N Mi INDetermine the x and y components of the following three vectors in the xy plane. (a) A 6-m displacement vector that makes an angle of 34° clockwise from the +y direction. x: m y: m (b) A 29-m/s velocity vector that makes an angle of 39° counterclockwise from the -x direction. x: m/s y: m/sGiven the displacement vectors A (2.00 -9.00j+ 5.00 k) m and B= (4.00 1 + 9.00 -4.00 k) m, find the magnitudes of the following vectors and express each in m terms of its rectangular components. (a) C-A+B IC) = 2-( atu tu (b) D-2A-B IDI m 1+ m j+ 3+ m