Consider the planes x + y + z = 6, and x - 6y + 2z = 4. a) which of the followin

ID: 2981844 • Letter: C

Question

Consider the planes x + y + z = 6, and x - 6y + 2z = 4.

a) which of the following vectors is parallel to the line of intersection of the planes above?

1) 8i - 1j - 7k

2) -4i - 3j + 5k

3) 8i + j - 7k

4) -4i - j - 5k

5) -4i + j +7k

b) which of the following points is on the line of intersection of the planes above?

1) (5,1,1)

2) (3,2,1)

3) (8,-2,0)

4) (0,8,2)

5) (8,0,-2)

c) use the information in parts (a) and (b) to find parametric equations for the line of intersection of the planes above.

vector r(t) = ? i + ? j + ? k

cross product of (1,1,1) & (1,-6,2)

()

1) 8i - 1j - 7k

2)5) (8,0,-2)

3)r(t)=(8,0,-2)+t(8,-1,-7)

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