A line is perpendicular to another line, if and only if

Q: 1. What is the third step you must follow to draw a perpendicular line that passes through point G?…

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Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

Q: Find the point of intersection of the following lines, if it exists.

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Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: Determine if the following lines are parallel, skew or intersecting. (X,y,z>=(3,2,2)+(4,5,4)t and…

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Q: a 3 4

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Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

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Q: Any two lines in space are either intersecting or parallel.

A: Given statement is  ' Any two lines in space are either intersecting or parallel' . The statement is…

Q: Let A= (1,2,4), B=(4,1,5), C=(4,2, 6), D=(7,1,7) Find the exact distance between the lines AB and…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: Three points that are all on a line are?

A: Collinear.  If three points lie on the same line, then those three points are said to be collinear.

Q: Which of the following pairs of lines are perpendicular? Select all that apply.

A: For equation of line :y=mx+c slope = m   if two lines are perpendicular then  multiplication of…

Q: All lines are either parallel or perpendicular. O True O False

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Q: Determine whether the lines 5x+3y =9   and -3x+5y=10  are parallel, perpendicular, or neither.

A: We know that  Two lines with the same slope are parallel. Two lines whose slopes have a product of…

Q: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: Slope is basically the vertical or the horizontal change between two distinct points. In a graph,…

Q: Determine whether the statement is always, sometimes, or never true. Two lines in parallel planes…

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Q: If three distinct points P, Q, and R all lie on a line and if d (P, Q)  = d(Q, R), then Q is called…

A: If three distinct points P, Q, and R all lie on a line and  d (P, Q)  = d(Q, R),

Q: Construct a line through P that is parallel to the given line segment AB. Then, construct another…

A: parallel lines doesn't intersect each other and perpendicular lines intersect each other at…

Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1=0 are not perpendicular

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Q: If ?1 is the line through ?(1,2,7) and ?(−2,3, −4) and ?2 is the line through ?(2, −1,4) and ?(5,7,…

A: Given that 1 is the line through (1, 2, 7) and (−2, 3, −4). So the direction ratio of line 1 is =…

Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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Q: Graph the line that satisfies each condition. 24. contains (–3, 4) and is parallel to AB with A(2,…

A: 24. At first we will calculate the line AB↔  Then,…

Q: The line that is perpendicular to the lines r = ⟨4t, 1 + 2t, 3t⟩ and R = ⟨-1 + s, -7 + 2s, -12 +…

A: The given lines r→=j^+t4i^+2j^+3k^R→=-i^-7j^-12k^+si^+2j^+3k^ Let,  4i^+2j^+3k^=b1→i^+2j^+3k^=b2→ As…

Q: In 3 Point Geometry, provide a proof that every line is on exactly two points.

A: To Prove: In 3-point geometry, every line is on exactly two points.

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Q: Two lines that have slopes of 5 and are perpendicular. O True O False

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Q: If A, B, C and C`are constants, show that: (a) the lines: Ах + By + C%3 0 Ах + By + C' 3 0 are…

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Q: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: We know that two lines are parallel if their slopes are equal. Also, two lines are perpendicular to…

Q: If line PQ and line RS are different names for the same line, what must be true about points P, Q,…

A: Colinear points problem...

Q: Three or more lines are _____ if theey all intersect at only one point a. Intersecting b. Parallelc.…

A: Three or more lines are concurrent if they all intersect at only one point.

Q: Determine whether the lines L1: (0, −1), (5, 9) and L2: (0, 3), (4, 1) passing through the pairs of…

A: Given: Line L1 passes through 0, -1 and 5, 9.Line L2 passes through 0, 3 and 4, 1 To Find: To…

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: 1. Which of the following lines is parallel to y = 4x 2?

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Q: If you were to pick any side in a rectangle, it would always be parallel to its opposite side! O…

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Q: Construct a line perpendicular to each of the following lines 4. 5. 6.

A: We have to construct the perpendicular lines for the given lines . Perpendicular line is the line…

Q: 23. Determine if the following pairs of lines are parallel, perpendicular or neither. 2 y =-x+2 3. 3…

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Q: 14. Construct a line perpendicular to XY". The name of the line is MN"

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Q: Which statement is the most precise and correct definition of parallel lines? Two lines are parallel…

A: Given: Few sentences are given for the definition of parallel lines.  To find: We have to pick the…

Q: Prove that, if two lines are parallel to a third line, then the lines are parallel to each other

A: Consider the following figure.

Q: Graph the line that satisfies each condition. 24. contains (-3, 4) and is parallel to AB with A(2,…

A: To Determine: graph the line satisfy each condition  Given: contains (-3,4) and is parallel to AB↔…

Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: If the points (h, 0), (a, b), and (0, k) lie on a line, show that 1 + k h

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Q: Using only the diagram, you can be certain that lines a and b are parallel. O True O False

A: False Sufficient information is not given to say that line a and b are parallel. Line b is…

Q: Show that the lines px + qy + r = 0 and P1x + q1y +r¡ = 0 are parallel or identical if and only if…

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Q: -) Determine the intersection of the lines: L,: 5 ==4 and L2: x=y -1 = z

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Q: Line t contains the points (2, 2) and (0, -3). Which of the following points would create a line…

A: When two lines are parallel, slope of the two lines will be same.

Q: Determine whether or not the line through the points A(0, –4, 2) and B(5, –1, 0) is perpendicular to…

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