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