6. Find the distancebetween each of thefollowing pairs ofskew linesL1: (4,1,0) + s(1,3,2)L2: (−5,3,3) +t(−1,1,2)Find the anglethat the line 3x+ 8y − 12 = 0�makes withthe x-axis. Find the anglebetween each pairof lines.L1: (16,12) + t(2,3)L2: (15,−4) +s(7,−1)5. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band cExplain whylines havescalarequations inR2, but not R3.determine if the lines areintersect or are parallel,coincident, or skew. If theyintersect, find the point ofintersection. R1 = (2,1,0) + s(1,−1,1)R2= (3,0,−1) + t(2,3,−1)Determine the scalarequation The lineperpendicular to thevector (3,2) thatpasses through thepoint(2,-6) .Determine if the twogiven equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)Determine theangle between thepair of lines.L1 :(4,5,−2) +t(3,−1,−1)L2 : (4,5,−2) +s(−2,−3,2)Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,−3,8) + t(2,1,2)L2; x = 1 + 2ty = 21 − 1tz = 7 − 2t Find the distancebetween each of thefollowing pairs ofparallel lines. L1: (5,2,3) + s(2,1,2)L2: (−4,2,4) + t(2,1,2)Free!Determine theintersection of thefollowing pairs of linesif it exists L1: x + 3y + 10=0L2: 2x − 9y + 5=0   Determine thedistance fromthe point P(3,5) to the line2x − y + 7 = 0.Determine a vectorequation of a linethat goes throughthe points 𝐴(1,4)and 𝐵(3,1)  Find the vectorequation of the linex=-8-t,y=11-3t,z=-1-4tthrough the point(4,5,5) that meets theline at right angles.6. Find the distancebetween each of thefollowing pairs ofskew linesL1: (4,1,0) + s(1,3,2)L2: (−5,3,3) +t(−1,1,2)Find the anglethat the line 3x+ 8y − 12 = 0�makes withthe x-axis. Find the anglebetween each pairof lines.L1: (16,12) + t(2,3)L2: (15,−4) +s(7,−1)5. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band cExplain whylines havescalarequations inR2, but not R3.determine if the lines areintersect or are parallel,coincident, or skew. If theyintersect, find the point ofintersection. R1 = (2,1,0) + s(1,−1,1)R2= (3,0,−1) + t(2,3,−1)Determine the scalarequation The lineperpendicular to thevector (3,2) thatpasses through thepoint(2,-6) .Determine if the twogiven equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)Determine theangle between thepair of lines.L1 :(4,5,−2) +t(3,−1,−1)L2 : (4,5,−2) +s(−2,−3,2)Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,−3,8) + t(2,1,2)L2; x = 1 + 2ty = 21 − 1tz = 7 − 2t Find the distancebetween each of thefollowing pairs ofparallel lines. L1: (5,2,3) + s(2,1,2)L2: (−4,2,4) + t(2,1,2)Free!Determine theintersection of thefollowing pairs of linesif it exists L1: x + 3y + 10=0L2: 2x − 9y + 5=0   Determine thedistance fromthe point P(3,5) to the line2x − y + 7 = 0.Determine a vectorequation of a linethat goes throughthe points 𝐴(1,4)and 𝐵(3,1)  Find the vectorequation of the linex=-8-t,y=11-3t,z=-1-4tthrough the point(4,5,5) that meets theline at right angles.

Unit 6 - Equations and Intersections of Lines - Call List

(Print) Use this randomly generated list as your call list when playing the game. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


1
T
2
H
3
A
4
T
5
T
6
H
7
A
8
M
9
M
10
H
11
M
12
A
13
H
14
T
15
M
16
A
  1. T-6. Find the distance between each of the following pairs of skew lines L1: (4,1,0) + s(1,3,2) L2: (−5,3,3) + t(−1,1,2)
  2. H-Find the angle that the line 3x + 8y − 12 = 0 �makes with the x-axis.
  3. A-Find the angle between each pair of lines. L1: (16,12) + t(2,3) L2: (15,−4) + s(7,−1)
  4. T-5. If the points (8,4,14),(6,19,−4) (10, b, c) lie on the same straight line, find the values of b and c
  5. T-Explain why lines have scalar equations in R2, but not R3.
  6. H-determine if the lines are intersect or are parallel, coincident, or skew. If they intersect, find the point of intersection. R1 = (2,1,0) + s(1,−1,1) R2= (3,0,−1) + t(2,3,−1)
  7. A-Determine the scalar equation The line perpendicular to the vector (3,2) that passes through the point(2,-6) .
  8. M-Determine if the two given equations represent two different lines or the same line. : (7,2) + t(2,1) : (4,5) + s(4,2)
  9. M-Determine the angle between the pair of lines. L1 :(4,5,−2) + t(3,−1,−1) L2 : (4,5,−2) + s(−2,−3,2)
  10. H-Given the line , determine if the following line is parallel, perpendicular, or coincident to it. L1: (2,−3,8) + t(2,1,2) L2; x = 1 + 2t y = 21 − 1t z = 7 − 2t
  11. M-Find the distance between each of the following pairs of parallel lines. L1: (5,2,3) + s(2,1,2) L2: (−4,2,4) + t(2,1,2)
  12. A-Free!
  13. H-Determine the intersection of the following pairs of lines if it exists L1: x + 3y + 10=0 L2: 2x − 9y + 5=0
  14. T-Determine the distance from the point P(3, 5) to the line 2x − y + 7 = 0.
  15. M-Determine a vector equation of a line that goes through the points 𝐴(1,4) and 𝐵(3,1)
  16. A- Find the vector equation of the line x=-8-t,y=11-3t,z=-1-4t through the point (4,5,5) that meets the line at right angles.