© Examples: 1. Find the direction angles of for the vector v = 2i + 3j...
Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) 1 - 7 - 4k cos(a) - cos(B) - cos(y) = a B- y = Need Help? Read it Watch it Talk to a Tutor
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) (9,4,-4) cos(a) = cos(B) = cos(Y) = B = 0 0 0 y = [-12 Points] DETAILS SCALCET8 12.3.041. Find the scalar and vector projections of b onto a. a = (4,7,-4) b = (3, -1, 1) scalar projection of b onto a vector projection of b onto a [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 12.3.047. If a = (2,0, -1),...
1) 2) Use the vectors u = 2i - j, v = 21 - 3j, and w = -3i + 5j to evaluate the expression. 2v - u + w Find a unit vector in the same direction as the given vector. a = 201 - 21j
3. (1/2 pt) What is the momentum of a 2kg mass with velocity v = 2i+3j+4k (m/s)?
(3 points) Given the system 1. -2 0 2i and for the eigenvalue λ-2, the vector V-(1) is an eigenvector. we know that λ- (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral source, or a center; (e) determine the direction of the oscillation in the phase plane (do the solutions go clockwise or countercdlocdkwise around the origin?); or counterclockwise (3 points) Given the system 1. -2 0 2i and for the eigenvalue...
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...
1. 2. Find u v and the angle between vector u and v for a) u = 2i – 2j + k, v = 3i + 4k b) u = v3i – 7j, v = v3i+j – 2k c) u = 2i +j, v= i + 2j – k
HOMEWORK No. 4 1) If P, Q and S are vector forces and If P --2i+ 3j-4k and P Q=-i-j+kand S -3j MFI a) Find P.Q P -2 3-4 Q= 2X-D 311)+eD P.Q=-5 1 b) Find PX Q J K -2 3 -4 -1-1 1 fxQ=(5-)i +(-2-0j+(2-DK PxQ=-i-uj +5K c) Find Angle 31COS0 IG-N122 EN3 d) Unit Vector Q e) Find (P x Q).S (-i-aita = 13 f) Provide a graphical interpretation of the quantity (Px Q) . S g)...
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...