Two vectors are given by A 3 16 j and B 1 i+j. (a) Find A x B A. (b) Find the angle between A and B
4./10 points SerPSE10 3.4.0P012 MI Consider the two vectors A-5 i-j and B-i-2 j. (a) Calculate A +B (b) Calculate A B (c) Calculate A-B 1 (d) Calculate A B (e) Calculate the directions of A+ B and A -B. o (counterclockwise from the +x axis) o(counterclockwise from the +x axis) A + B A -B
(1)Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j (2) Let F(x, y, z) = (2exz, 3 sin(xy), x7y2z6). (a) Find the divergence of F. (b)Find the curl of F. -/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
Two vectors create the shape of parallelogram, where: P= x i + 2 j Q= i + 3 j The area of the parallelogram is 7cm^2. Find the x component on vector P and the angel between two vectors! (I have come to two results possible for x, x is -5/3, and 3. I am now confused which x i shoudl choose as the vector P’s component, because when I put tk the equation to find the angle, both result...
Ifz-I+),22-1-j, and 3=-2, calculate the magnitude and phase (in radians) of (a) zi (b) z2 (c) z3 (d) z1 +z (e) z z3 (f) z1z2 (g) t22 (h) 을 2. 21 23 21-23 Z1
3. Let I be the C-vector space with basis B = {1, cosx, sinx}. Define J: I + I by (Jf)(x) = 67 f(x +t) dt. Show that I is diagonalizable and find a basis of I consisting of eigenvectors of J.
I cannot get i) or j) 3. (20 marks) Consider the parallel lines L, : x= -3 +8 2 [1] and L2: x = 0 + [2] 4. and 11 [3 -21 the planes P1 : 3x + 2y + 2z = -7 and P2 : 2.x – 2y - 2 = 11. (a) Find the equation of a plane in standard form containing both L, and L. (b) Find an equation of the line of intersection of P, and...
Problem 2 at values of a are A = a i-2 j + k and B-2a i-aj-4k perpendicular? Problem3 Find the area of a triangle with vertices at P(3,-1,2),Q(1,-1,-3), and R(4,-3,1),
Given M 5 i +4- 3 k and N 6 i- 3 j - k, calculate the vector product M x N. 8 Review the definition of the cross product in term of components. i + Need Help? LReadIt 11 watch lt
2. From Kay 8.6, for the PMF PX.y i,1 J O j-1 iO i- 1 (a) Find pyixUld (b) Find pxy lil (c) Find Eyix [Y r] and Vary xY r (d) Find Exy X|y] and Varxy X |yj) (e) Find Ex[X] and Ey Y] from the above