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
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...
please answer 2a(i) only 2. (a) Use Octave as a Calculator to answer this question. Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j - 1. The (i,j)-entry of the matrix A equals 0 if i +j is divisible by and equals the (i,j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices A and B? ii. Is vector u- [9,...
Q = (0,6, -4) R= (5,-4, -5) Consider the triangle with vertices: P= (-2,0, -1) (a) Find the vectors PO, PŘ, and QŘ (b) What is the measure of the angle at P (ZQPR)? (c) What is the perimeter of the triangle APQR ? (d) What is the area of the triangle APQR? (e) Find a vector that is perpendicular to the plane containing P, Q, and R Verify that the vector you have found is perpendicular to PO (f)...
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu ,1,0), u(0,1,1), (10,1). Find scalars c,,s such that 6. (a) Find the area of the triangle with vertices , (2,0,1), (3, 1,2). Find a vector orthogonal to the plane of the triangle. (b)) Find the distance between the point (1,5) and the line 2r -5y1 (i) Find the equation of the plane containing the points (1,2, 1), (2,1, 1), (1, 1,2). 7. (a) Let...
If C--4 i-2 j-2 k, what is Cx j? O +3 i +4 k O +3 i +4 j O +2i-4k Submit RequestAnswer
[1] Let A-11 j Let ถ be the triangle in R, with vertices (-3,-2), (2,3), (-1,1). (a) Find the area of Ω. (b) What is the shape of the image A(S2)? Find the area of A(S) c) Is the linear transformation A orientation preserving or reversing? [1] Let A-11 j Let ถ be the triangle in R, with vertices (-3,-2), (2,3), (-1,1). (a) Find the area of Ω. (b) What is the shape of the image A(S2)? Find the area...
Reaction 1: A + B+C Reaction 2: 2A + B +C R= 8.31 J mol-1 K-1 and assume T = 298 K 1. A solution of [A] =0.60 M is prepared and allowed to reach equilibrium. The concentration of A at equilibrium is 0.50 M. Use this information to calculate the equilibrium constant for reactions 1 and 2. Keg for reaction 1: Keg for reaction 2: 2. Which reaction is more spontaneous under standard conditions? 3. Determine if each reaction...
i need help with all parts. i will rate. thank you very much. (x - 5)2 + (y+9)2 + (z+4)2 = 81 is a sphere that is tangent to the O xy - plane Oxz - plane yz - plane O none of the above f(x,y) = (x-3)2+(y+4) has a relative minimum at which point? O (0,0) O (3,-4) O(-4,3) O (1,5) The triangle with vertices P(0,0,0), Q (2,-1,2), and R (-1,0,1) has area o 6/2 O 3/2 3/2 2...
(I point) Let F=21+(z + y) j + (z _ y + z) k. (1+4t). y = 4 + 2t, z = _ (1+t). Let the line l be x =- (a) Find a point P-(zo, 30, zo) where F is parallel to 1. Find a point Q (which F and I are perpendicular. Q= and l are perpendicular Give an equation for the set of all points at which F and l are perpendicular. equation: (I point) Let F=21+(z...