Obtain the general solutions given the differential operators f. (3D + 5D? - 2D) y = 0

A point P is located at (0 0 100) in a body coordinate frame. If the rigid body rotates 60deg about the global X-axis and the origin of the body translates to (X, Y, Z)=(500, 0 600), find the final position (X2, Y2, Z2) in the Global frame by using 4X4 matrix.

1. Find F1-2 for the configuration shown where I and 2 are square areas. Reading the book may be very helpful here.

Which are the Matrices of a vector?

Find a vector x whose image under T, defined by T(x) = Ax, is b, and determine whether x is unique. Let 1 3 6 15 4 15 27 69 0 1 1 -4 - 13 - 25 A= b= x= 3 - 63 Find a single vector x whose image under T is b. s the vector x found in the previous step unique? O A. Yes, because there are no free variables in the system of equations. O B. Yes, because there is a free variable in the system of equations. O C. No, because there are no free variables in the system of equations. O D. No, because there is a free variable in the system of equations.

A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what distance d will kx for the new region be the same as kx (for the region before the cutout was removed?

In a design, a line is constructed by connecting PO(2,2,2) and P1(6,6,11), and point P2(2,3,13) is defined. If point P2 is rotated about the axis POP1 anti clockwise by 60 degrees. Find the coordinate of the point P2 at the new location and verify your result by using SolidWorks. X Xp Z Z₂ 0 P P₂ Y₁ 5 P₁

Parvinbhai

(x3)²+(y+ 1)² = 4

if a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")