2.Find the anglebetween each pairof lines.L1: (16,12) + t(3,4)L2: (15,−4) +s(2,1)13. 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.Free!9.Determine theangle between thepair of lines.L1 :(3,4,−1) +t(3,−1,−1)L2 : (2,5,−5) +s(-3,−4,1)5.Determine if thetwo given equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)15.Determine if thefollowing pair of lines arecoincident or distinct L1: (1,2,3)+s(4,3,4)L2: (2,4,6)+t(400,300,400)   1.Determine avector equation of aline that goesthrough the points𝐴(1,4) and 𝐵(3,1)  10.Determinethe distancefrom the pointP(9, 5) to theline3x − 2y + 7 = 0.3. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band c7.Explain whylines havescalarequations inR2, but not R3.8.determine if the linesare intersect or areparallel, coincident, orskew. If they intersect,find the point ofintersection. R1 = (1,1,1) + s(1,2,1)R2= (2,1,2) + t(1,3,−1)12.Find the distancebetween each of thefollowing pairs ofparallel lines. L1: (4,1,2) + s(2,1,2)L2: (9,1,9) + t(2,1,2)6.Determine thescalar equation Theline perpendicular tothe vector (3,2) thatpasses through thepoint(2,-6) .4.Find theangle that theline 2x + 8y −23 = 0 �makeswith the x-axis. 14.Find the distancebetween each of thefollowing pairs ofskew linesL1: (1,1,2) + s(1,2,2)L2: (3,1,3) + t(−1,1,3)11.Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,−3,8) + t(4,-1,-2)L2; x = 1 + 4ty = 21 − 1tz = 7 − 2t 2.Find the anglebetween each pairof lines.L1: (16,12) + t(3,4)L2: (15,−4) +s(2,1)13. 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.Free!9.Determine theangle between thepair of lines.L1 :(3,4,−1) +t(3,−1,−1)L2 : (2,5,−5) +s(-3,−4,1)5.Determine if thetwo given equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)15.Determine if thefollowing pair of lines arecoincident or distinct L1: (1,2,3)+s(4,3,4)L2: (2,4,6)+t(400,300,400)   1.Determine avector equation of aline that goesthrough the points𝐴(1,4) and 𝐵(3,1)  10.Determinethe distancefrom the pointP(9, 5) to theline3x − 2y + 7 = 0.3. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band c7.Explain whylines havescalarequations inR2, but not R3.8.determine if the linesare intersect or areparallel, coincident, orskew. If they intersect,find the point ofintersection. R1 = (1,1,1) + s(1,2,1)R2= (2,1,2) + t(1,3,−1)12.Find the distancebetween each of thefollowing pairs ofparallel lines. L1: (4,1,2) + s(2,1,2)L2: (9,1,9) + t(2,1,2)6.Determine thescalar equation Theline perpendicular tothe vector (3,2) thatpasses through thepoint(2,-6) .4.Find theangle that theline 2x + 8y −23 = 0 �makeswith the x-axis. 14.Find the distancebetween each of thefollowing pairs ofskew linesL1: (1,1,2) + s(1,2,2)L2: (3,1,3) + t(−1,1,3)11.Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,−3,8) + t(4,-1,-2)L2; x = 1 + 4ty = 21 − 1tz = 7 − 2t 

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.


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  1. A-2.Find the angle between each pair of lines. L1: (16,12) + t(3,4) L2: (15,−4) + s(2,1)
  2. A-13. 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.
  3. A-Free!
  4. M-9.Determine the angle between the pair of lines. L1 :(3,4,−1) + t(3,−1,−1) L2 : (2,5,−5) + s(-3,−4,1)
  5. M-5.Determine if the two given equations represent two different lines or the same line. : (7,2) + t(2,1) : (4,5) + s(4,2)
  6. H-15.Determine if the following pair of lines are coincident or distinct L1: (1,2,3)+s(4,3,4) L2: (2,4,6)+t(400,300,400)
  7. M-1.Determine a vector equation of a line that goes through the points 𝐴(1,4) and 𝐵(3,1)
  8. T-10.Determine the distance from the point P(9, 5) to the line 3x − 2y + 7 = 0.
  9. T-3. 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
  10. T-7.Explain why lines have scalar equations in R2, but not R3.
  11. H-8.determine if the lines are intersect or are parallel, coincident, or skew. If they intersect, find the point of intersection. R1 = (1,1,1) + s(1,2,1) R2= (2,1,2) + t(1,3,−1)
  12. M-12.Find the distance between each of the following pairs of parallel lines. L1: (4,1,2) + s(2,1,2) L2: (9,1,9) + t(2,1,2)
  13. A-6.Determine the scalar equation The line perpendicular to the vector (3,2) that passes through the point(2,-6) .
  14. H-4.Find the angle that the line 2x + 8y − 23 = 0 �makes with the x-axis.
  15. T- 14.Find the distance between each of the following pairs of skew lines L1: (1,1,2) + s(1,2,2) L2: (3,1,3) + t(−1,1,3)
  16. H-11.Given the line , determine if the following line is parallel, perpendicular, or coincident to it. L1: (2,−3,8) + t(4,-1,-2) L2; x = 1 + 4t y = 21 − 1t z = 7 − 2t