The force F has a magnitude of 650 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 = 650 N, 0 = 21° Answers: F = (i j) N Fx-i Fy= i F N N
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- You have the following vectors: A -- =-7.9i+9.7j B=7.1i+-1.23 Calculate the magnitude of A A - 2B. Your Answer: AnswerUse the definition of scalar product, a · b = ab cos 0, and the fact that a = axbx + ayby + ażbz to calculate the angle between the two vectors given by á 8.0î + 8.0 + 8.0k and b = 7.0î + 8.0j + 6.0k. Number 168 Units ° (degrees)Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB| is: :
- 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 INWhat is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit vectors?Vector ?⃗has a magnitude of 75.0cm and points at 30° above the positive x-axis. Vector?⃗⃗has a magnitude of 95.0 cm and points along the negative x-axis. Determine the x and y components of the sum of these two vectors Determine the magnitude and direction of the sum of these two vectors. Determine the dot product of vectors ?⃗and ?⃗⃗(?⃗∙?⃗⃗). Determine the magnitude of the cross product (|?⃗×?⃗⃗|).
- I am having trouble with this problem and it does not seem like there is enough information to solve.What is the magnitude of the vector U and vector V? What is the angle, in degrees, between U and V? Enter this as an angle between 0 and 90 degrees..Assume you have the following two vectors: A = 11.5i + 17.5j + 19.5k B = 4.9i + 9.5j - 1.1k Part (a) What is the x-component of the vector V = A × B? Part (b) What is the y-component of the vector V = A × B? Part (c) What is the z-component of the vector V = A × B? Part (d) What is the magnitude of the vector V = A × B?
- You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, you must use the form: a1i + a2j + a3k Find a unit vector in the direction of qDetermine 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/sA force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: ex= i 0 0y = i 0₂ = i O