Determine theangle between thepair of lines.L1 :(4,5,−2) +t(3,−1,−1)L2 : (4,5,−2) +s(−2,−3,2)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 if the twogiven equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)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.Determine a vectorequation of a linethat goes throughthe points 𝐴(1,4)and 𝐵(3,1)  Find the anglebetween each pairof lines.L1: (16,12) + t(2,3)L2: (15,−4) +s(7,−1)Determine the scalarequation The lineperpendicular to thevector (3,2) thatpasses through thepoint(2,-6) .Free!Find the anglethat the line 3x+ 8y − 12 = 0�makes withthe x-axis. 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)5. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band cDetermine theintersection of thefollowing pairs of linesif it exists L1: x + 3y + 10=0L2: 2x − 9y + 5=0   Explain whylines havescalarequations inR2, but not R3.Determine thedistance fromthe point P(3,5) to the line2x − y + 7 = 0.6. Find the distancebetween each of thefollowing pairs ofskew linesL1: (4,1,0) + s(1,3,2)L2: (−5,3,3) +t(−1,1,2)Determine theangle between thepair of lines.L1 :(4,5,−2) +t(3,−1,−1)L2 : (4,5,−2) +s(−2,−3,2)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 if the twogiven equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)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.Determine a vectorequation of a linethat goes throughthe points 𝐴(1,4)and 𝐵(3,1)  Find the anglebetween each pairof lines.L1: (16,12) + t(2,3)L2: (15,−4) +s(7,−1)Determine the scalarequation The lineperpendicular to thevector (3,2) thatpasses through thepoint(2,-6) .Free!Find the anglethat the line 3x+ 8y − 12 = 0�makes withthe x-axis. 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)5. If the points(8,4,14),(6,19,−4)(10, b, c) lie on thesame straight line,find the values of band cDetermine theintersection of thefollowing pairs of linesif it exists L1: x + 3y + 10=0L2: 2x − 9y + 5=0   Explain whylines havescalarequations inR2, but not R3.Determine thedistance fromthe point P(3,5) to the line2x − y + 7 = 0.6. Find the distancebetween each of thefollowing pairs ofskew linesL1: (4,1,0) + s(1,3,2)L2: (−5,3,3) +t(−1,1,2)

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
M
2
H
3
M
4
A
5
M
6
A
7
A
8
A
9
H
10
H
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M
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T
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H
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T
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T
  1. 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)
  2. 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)
  3. 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)
  4. 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.
  5. M-Determine a vector equation of a line that goes through the points 𝐴(1,4) and 𝐵(3,1)
  6. A-Find the angle between each pair of lines. L1: (16,12) + t(2,3) L2: (15,−4) + s(7,−1)
  7. A-Determine the scalar equation The line perpendicular to the vector (3,2) that passes through the point(2,-6) .
  8. A-Free!
  9. H-Find the angle that the line 3x + 8y − 12 = 0 �makes with the x-axis.
  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. 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
  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-Explain why lines have scalar equations in R2, but not R3.
  15. T-Determine the distance from the point P(3, 5) to the line 2x − y + 7 = 0.
  16. 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)