1. Write the line through p=(-1,4,0)p=(-1,4,0) in the direction of v???=?3,-2,1?v¯=?3,-2,1? in vector parametric form:
2. Suppose a line is given by the system of equations
x = 2-5t,
y = 2-5t,
z = 4-t.
Then the vector and point that were used to define this line were:
3. An implicit equation for the plane through (5,-1,5)(5,-1,5) normal to the vector ?2,-3,3??2,-3,3? is:
4. The plane that passes through the point (-5,-3,-3) and is perpendicular to both 2x-2y-2z=6 and 5z-(2x+5y)=-7 has ___________ as its implicit equation
5. An implicit equation for the plane passing through the points (1,-2,-5), (1,-6,-9) and (3,-2,0) is: