Calculate the unit vector UBA. Notice that the problem is asking to calculate BA and not...
Vector ä is 3m long and is 60° above x-axis in the first quadrant. Vector b is 5m long and is 50° below the x-axis in the fourth quadrant. Find ajä + b, ba-b, c) b-a. Provide answers to a)-c) in both, unit-vector notations and in terms of magnitude and direction For two vectors mentioned in the problem 3, find ab and axb (in terms of magnitude and direction). 3. 4.
5. [5 marks] (a) A= = (4) B = (23) Calculate AB and BA (b) Evaluate S(4x3 – 3x2 + 2x – 1)dx (c) Convert the parametric equation to both vector and Cartesian form: [5 marks) X = 2 +31 y = 1 -21 z = 42 [5 marks) (c) A card is picked at random from a pack of 20 cards numbers 1, 2, 3, ..., 20. Given that the card shows an even number, find the probability that...
3. (8) Let L be the language accepted by the following finite state machine: q0 q1 q2 q3 Answer Yes or No: Does each of the following regular expressions correctly describe L? (1) (a uba)bb'a (2) (EU b)a(bb%)* (3) ba u ab*a (4) (a ba)(bb*a)*
Please explain how to solve using vector algebra and explain why VAB = WAB x BA and not VAB = WAB x AB. P 5/82 TO 900 mm 300 mm In the design of a produce-processing plant, roller trays of produce are to be oscillated under water spray by the action of the connecting link AB and crank OB. For the instant when e = 15°, the an- gular velocity of AB is 0.086 rad/s clockwise. Find the corresponding angular...
1. Find a 2x2 matrix A if for the vector v = 3). Av = [4 +311 I 2. For this problem, use matrices A = and C = matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A.
This is a multi-part, activity coefficient problem. Part 1: Calculate the solubility of Ba(IO3)2 in pure water. Ksp of Ba(IO3)2=1.57*10^-9. Part 2: Calculate the solubility of the same Ba(IO3)2 in a 0.0025 M Al(NO3)3 solution.
Problem 24 : Let b b2 b3 ba E R4 be a fixed vector, b + 0. Define L:R4 R by C1 12 L(x) = b. I, 2= ER4. 13 24 where bºx is the dot product of b and x in R4. (a) Show that L is a linear transformation. (b) Find the standard matrix representation of L. (c) Find a basis for and the dimension of Ker L. (d) Is L one-to one? Explain why. (e) Is L...
Please show full work thanks Problem 3 Given that the circular plate is rotating about the AB vector with an angular velocity of ω- 18t rads/s AB AB a) Find the velocity of point E b) Find the acceleration of point E 80 mo 130mm Problem 3 Given that the circular plate is rotating about the AB vector with an angular velocity of ω- 18t rads/s AB AB a) Find the velocity of point E b) Find the acceleration of...
7 4 Find a unit vector in the direction of 3 2 1 A unit vector in the direction of the given vector is (Type an exact answer, using radicals as needed.).
Problem 6 Let A, B, C Rnxn where AB = BA = In and AC = CA = Γη. Show that B-C