Question

The vector equation vector r = (i - 2j - k) + t(6j - k) represents a straight line passing through the points …

(a) (0, 6, -1) and (1, -2, -1) 

(b) (0, 6, -1) and (-1, -4, -2) 

(c) (1, -2, -1) and (1, 4, -2) 

(d) (1, -2, -1) and (0, -6, 1)

Answer 1

(c) (1, -2, -1) and (1, 4, -2)

The required vector equation is vector r = vector a + t(vector(b - a))

From (1) and (2) 

The points are (1, -2, -1) and (1, 4, -2)