you have to turn this into a
vector form (x , y, z) = (?, ?,?)+t(?,?,?)
you have to turn this into a vector form (x , y, z) = (?, ?,?)+t(?,?,?)...
8. A 4-vector < x,y, z,t > describes the position of an object at a given time, using < x,y,z > for its coordinates at t for the time. Suppose s-scale (for s a Real number) is the operation of moving < x, y, z > to< sx, sy, sz > in a single time step. Which of the following is true? OA. The process of computing the new vector can be achieved by using a 3 x 3-matrix. OB....
18. Consider the line L with vector equation (x, y, z)-(3, 4,-1 1,-2, 5) and the point P(2, 5, 7). Show that P is not on L, and then find a Cartesian equation for the plane that contains both P and L.
= Let T:R3 → Rº be the linear transformation given by T(x,y,z) = (x – 2, x + y, x + y + 2z) for all (x,y,z) e R3. Determine whether T is invertible or not. If T is invertible, find the inverse of T and compute inverse image of (1,1,1) under T.
Consider line L, given below. x = 6 + t, y = 7 + t, z = 3 + 3t, tER (a) Find point P that belongs to the line and direction vector v of the line. Express v in component form. P = V = (b) Find the distance from the origin to line L.
1. Confirm Stokes' theorem for the vector function F(x, y, z) = (z+y,4y, zxº) over the cone 2=4/x+y which has a total height of 16 in the z-direction. (See the diagram).
11. Determine the values of x, y, and z that make A B true if A -4y-x 8 B-[-32 52] [x + 2y 5
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z) = 200e-x=y+14–2–19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, 1,-1) in the direction toward the point (-4,-5, -5). In which direction...
9. Evaluate the “vector valued” line integral 1.Podr Fodr where F(x, y, z) = (x, y, zy) TT and C is given by r(t) = (sint, cost, t), with N » 4. u sta
Find the moment at point O, in cartesian vector form, due to T applied at point B. Resolve the moment about the X,Y and Z axes. 2 Coordinates (ft) A2 25 B 310 -2 T = 200 lbs