Find two nonparallel vectors y and z which are perpendicular to X = (39,69,36) y =...
a. Find the projection of u 21j+3k on y- -i+3j+2k. Hence resolve u into two vectors, one parallel to y and the other perpendicular to v. b. Resolve v into two vectors, one parallel to υ and the other perpendicular to u.
Which of these planes are perpendicular to lines r=(0,1,1) + t(1,1,0)? a) x+y+z=2 b) x+y+z=3 c) y+z=2 d) x+y=2
Note: if z = (z1, z2, z3), then the vectors x = (−z2, z1, 0) and y = (−z3, 0, z1) are both orthogonal to z. Consider the plane P = H4 (1,−1,3) in R 3 . Find vectors w, x, y so that P = w + Span(x, y). Note: if z = (2,22,23), then the vectors x = (-22,21,0) and y = (-23,0,2) are both orthogonal to z. Consider the plane P = H(1,-1,3) in R3. Find vectors...
Additional Problems: (HINT: It suffices to consider Just what happens (DX c A. Show by example that (a x b xc* a with i, j and k:) B. Find a vector which is perpendicular to every vector parallel to the plane z+y 0. C. Find the line which is the intersection of the planes x + y 0 and 3y-z = 0. D. Explain why the vectors in the following form describe a plane (where both t and s are...
Let the two vectors x & y and the matrix z be defined as follows 1.2 2.2 4.1 x-| 2.21, y-| 1.51,2-12.1-3.2 1.9 3.1 1.2 3.2 0.35 Write a script in Matlab and save it as .m file with name HW19_2. The script will execute the following tasks 1 Enter the vectors x &y and the Matrix z into the script. 2- Evaluate L2 lx2 3- Evaluate L1xl1 4- Evaluate Linf- l 5- Evaluate the dot product N-(x,y) 6- evaluated...
n - meraymowa:)--00 [1] [ Let the vectors x, y and z be x = -2 y=1tz= -1 [3] [2] Find r. s and t such that y + z = x O (r, s, t) = (-2, -1, 1) O (r, s, t) = (-2, 1, 1) O (r, s, t) = (-2, 1,-1) (r, s, t) = (2, 1,-1) m Consider the set S = {w,x,y,z} of vectors in R3, S = { 121, Let V = span...
You are given two vectors, one pointing in the x direction and the other pointing in the y direction. Is it possible to find a third vector so that the sum of the three vectors is equal to zero? yes yes, but only because the vectors are perpendicular no only if the two vectors have the same magnitude A points in the-X direction with a magnitude of 12, what is the y component of A? Enter an exact number C...
Given z =f(x, y) and w = g(x, y) such that a/ax = aw/ay and az/ay-みv/ar. If θι and θ2 are two mutually perpendicular directions, show that at any point FOx, y), as/as, = aw/as, and as/as, =-aw/as, . 21. Given z =f(x, y) and w = g(x, y) such that a/ax = aw/ay and az/ay-みv/ar. If θι and θ2 are two mutually perpendicular directions, show that at any point FOx, y), as/as, = aw/as, and as/as, =-aw/as, . 21.
The angle between two complex vectors x and y is defined as a = arccos Re(x, y) W(x,x)/(y,y) Recall that Re(z) denotes the real part of a complex number z =a+bi, so Re(z) = a. Find the angle a between the vectors x= / -6 -2i 1-4 – 6i) and y= 1-2 – 2i 1 1-6 - 2i a = arccos Be careful to use the correct product everywhere. This is not the dot product.
two displacement vectors u=[3m, -5m, 2m] and w=[-4m, -2m, ?] are perpendicular. What is w(z)?