Dr. Wolfe MATH 241 MATLAB PROJECT #1 Due February 19, 2008
Corrected version
Use MATLAB to do the following problems. Note that they can easily be done by hand.
1. Find a unit vector in the direction of (1,โ3,5).
2. Find an equation of the plane which contains the lines
xโ2
4=yโ3
5=z+ 2
3and x
2=y+ 2
3=z+ 1.
3. Find the distance between the point (1,3,1) and the plane 3(xโ2)+2(yโ1)โ3(zโ1) =
0.
4. Find the area of the triangle with vertices (3,1,0),(1,2,3) and (0,โ1,โ2).
5. Find the angle (in radians) between the vectors (2,โ2,4) and (4,โ1,5). Note: In
MATLAB the function cosโ1xis acos(x).