1)Find the equation of the line, and write the equation in the specified form. Be sure to define your parameter(s) if applicable.

(a) the line parallel to ~m = (2, −1) and passes through the point (−9, 2) (in vector form)

(b) the line that passes through the points (3, −5, −1) and (4, −3, 7) (in parametric form)

(c) the line that has a normal vector ~n = (2, 5) and passes through the point (3, −1) (in scalar form)

2) For the following two lines:L1 : (1, 4, −2) + t(2, −1, 5) and L2 : (1, 5, −2) + s(−1, 5, 3),

(a) Determine the angle between `1 and `2, expressed to the nearest degree.

(b) Find, in parametric form, the equation of a line that is perpendicular to both `1 and `2, and passes through the point (2, 0, −5). 3

pur-new-sol

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