Question

1.1) Let line L have homogeneous coordinates (1, 2, 1) and point P have homogeneous coordinates (-3, 1, 1]. Does point P lie on line L?

Yes or no.

1.2) Let line L have homogeneous coordinates [1, 2, 1) and point P have homogeneous coordinates [6, -3,1]. Does point P lie on line L?

Yes or no.

1.3) Let point P have homogeneous coordinates (a, b, 0] and line L have homogeneous coordinates [-2b, 2a, a+b]. Does point P lie on line L?

Yes or no

Answer 1

yes, yes, no

Explanation:

1. L= i + 2j +k; P = -3i + j + k, line lies on one another at k

2. L =i + 2j + k and P = 6i -3j + k, the lines lie on one another at k

3. P = ai + bj and -2bi +2aj + (a+b) k