# HW10 - -t L 2 x = 4-t y =-6 6 t z = 8-t 5 Do the lines L 1...

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HW 10 Algebra II Honors – Mr. Petach Please write your answers on a separate sheet! 1. Find a parametric equation of the line containing the points (a) (4 , 5 , 3) and ( - 1 , 7 , 2) (b) (0 , 4 , - 2) and ( - 3 , 1 , 3) (c) (0 , 0 , 0) and (1 , 1 , 1) (d) (3 , 4 , 5) and (3 , 6 , 8) 2. Find the point where the line you found in 1a) pierces (a) the xy plane. (b) the xz plane. (c) the yz plane. 3. For each of the following pairs of points, ﬁnd the direction cosines ( c 1 , c 2 , and c 3 ) of a line containing the two points. Then, ﬁnd a normalized parametric equation of the line. (a) 4 , 5 , 3) and ( - 1 , 7 , 2) (b) (0 , 0 , 0) and (1 , 1 , 1) (c) (4 , - 2 , 0) and (2 , - 2 , 0) 4. Do the lines L 1 and L 2 intersect? If so, ﬁnd the point of intersection. If not, are they parallel? L 1 : x = 4 + 2 t y = 4 - 3 t z = 5

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Unformatted text preview: -t L 2 : x = 4-t y =-6 + 6 t z = 8-t 5. Do the lines L 1 and L 2 intersect? If so, ﬁnd the point of intersection. If not, are they parallel? L 1 : x = 2 + 3 t y = 1 + 2 t z =-t L 2 : x =-3-t y = t z = 4 + 4 t 1 6. Do the lines L 1 and L 2 intersect? If so, ﬁnd the point of intersection. If not, are they parallel? L 1 : x = 3 + t y = 4 + 2 t z =-1-t L 2 : x = 2-2 t y = 2-4 t z =-2 + 2 t 7. Find the rectangular equations of the line by eliminating t x = t y = 3 + 4 t z = 7-6 t 2...
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## This note was uploaded on 05/13/2011 for the course MATH 101 taught by Professor Impemba during the Fall '10 term at Grand Valley State.

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HW10 - -t L 2 x = 4-t y =-6 6 t z = 8-t 5 Do the lines L 1...

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