Please show work for all 4. Problem 1 The following forces act on a particle P: F 2i +3j -5k F-53k F,-i-2j + 4k Find the result of the forces and its magnitude F43j-2k Problem 2 For what values of a are A ai -2j+ k and B -2ai -aj -4k perpendicular? Problem 3 Find the area of a triangle with vertices at P(3,-1, 2), Q(1,-1,-3), and R(4,-3, 1) We were unable to transcribe this image
Two vectors p and q are given by: p = 2i + j - K q = i - 3j + 2k Find: a) p + q b) Modulus (p + q) c) Modulus (p) + Modulus (q) d) (p) x (q)
1. (1 point) Find two vectors vi and v2 whose sum is (-3,0), where Vi is parallel to(-2,-4) while v2 is perpendicular to-2,-4) and Answer(s) submitted: (incorrect) 2. (1 point) Find the angle θ between the vectors a- 10i -j- 5k and b 2i+j- 21k Answer (in radians): θ Answer(s) submitted: (incorrect) 3. (1 point) Find a vector a that has the same direction as -6,5,6) but has length 3. Answer: a Answer(s) submitted: (incorrect) 4. (1 point) Suppose we...
Project: Consider an in-line slider-crank mechanism as shown. The crank is described by the vector R- P + jQ and the connecting rod length S, where P, Q, and S will correspond to your 8 digits CityTech ID, e.g., P Average of largest three digits of your student ID, Q (mean + median) of your 8 digits ID, and S (mode + mean + median + Range) of your 8 digits ID. Find the connecting rod orientation and the slider...
webassign.net Use the vector w = (4, -3) to find the indicated quantity. ||w| - 1 ||w| - 1 = State whether the result is a vector or a scalar. The result is a ---Select--- 16. DETAILS STRIG2 6.5.007. For the given vectors a and b, find the cross product a xb. a = i + 3 + k, b = 21 - 4k a x b = 17. DETAILS LARTRIG10 3.4.037. Find the angle (in radians) between the vectors....
u=2i-j+k v = 37 - 4k w = -51 +7 QUESTION 1)Find the volume of the parallel face determined by the vectors QUESTION 2) f(x, y, z) = xy + y2 + zx a) Find the gradient vector of function f b) Calculate the gradient vector at point P (1, -1, 2) of function f. c) Direction in the direction of the vector v = 3i + 6j - 2k at point P (1,-1,2) of the function f find the...
Suppose that the supply function for honey is P = S(q) = 0.4q+1 where P is the price in dollars for an 8-oz container and q is the quantity in 8-oz containers. Find the quantity supplied at a price of $9 (Round to the nearest whole number).
1. The quaternions H are a set of "hyper-complex" numbers of the form p = a + bi-cit dk. where a, b, c, d E R. Like the complex numbers, they can be added, conjugated by sending p ? p = a-bi-cj-dk, and the norm of a quaternion is given by lp-va2? 2 247. To multiply two quaternions, we use the algebra i2 = j2 = k2 =-1 ij=-ji = k jk=-kj = i ki=-ik = j a) Use the...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
matLab Calc 3 plot vector Exercise 1 Use MATLAB to plot 2 vectors, a blue vector connecting the points P=(1,-3,5 ) and Q=(3,2,6 ) and an equivalent red vector which has as its initial point the origin, (0,0,0) a.) What commands define the points p and q? Select exactly one of the choices. р.[326];q-1-35); p-I1 -3 51iq (3 2 61 p-[5 -3 11iq [3 2 6] not listed b.) One or more of the following commands will plot the blue...