The magnitude of vector A can be written as, A UA = A. A. = Ax. Ai +. Ay. Aj +. Az. A k. B) A = Ax^I + Ay^j + Ax^k CA=AXI + AY j + AZ k D Square root of the sum squares of Ax, Ay and Az
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- Calculate the components of the following vectorsVector A, vector B, and vector C are drawn to scale in the figure below. The vector Ais 5.3 meters long and points 56 degrees counterclockwise from the positive x-axis. The vector B is 4.0 meters long and points along the negative x-axis. The vector C is 2.8 meters long and points 53 degrees clockwise from the negative x-axis. 1. What are Ax and Ay, the x and y components of vector A? 2. What are Cx and Ay, the x and y components of vector C? 3. What are Rx and Ry, the x and y components of the resultant vector R =A +B+C?In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i
- 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.34. EGO A force vector has a magnitude of 575 newtons and points at an angle of 36.0° below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector?Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. What is the angle between v and w in degrees?
- Problem 2: Given vectors: A = 3 i+j- k, B = - i+ 2j+ 5 k, C = 2 j - 3 k. Find: 1. C. (A + B) 2. Cx (A - B)vector a = <-1,4,5>, vector b = <1,-2,1> what is the value of vectors a*b. what is the angle between vector a and b2d 2. The magnitude, F, of the force shown and the dimensions a, b and c are given. In terms of given quanti- ties, what is the vector projection of the force onto the direction from R UPO a R to Q? 近
- Consider two vectors, A = 16.5 m at 48.0°, and B = (-12.7 + 2.30j) m. Determine the x and y components of A: Ax Ay m. Determine the x and y components of B: B. Let H- B- 3 A. Determine H and express it in unit vector form. 1+ コ)-H Determine the magnitude and direction of H H= mat 3:The magnitude of Ais 5.7. Vector Alies in the second quadrant and forms an angle of 23 degrees with the y- axis. The components, Ax and Ay, are closest to: O Ax = -5.2, Ay = -2.2 O Ax=+5.2, A, = -2.2 Ay O Ax = -5.2, Ay = +2.2 O Ax = +2.2, Ay = -5.2 O Ax = -2.2, Ay = +5.2