السؤال الأول: ليكن Two lines in space and let us have the plane M 1 Find the magnitude of the angle between the linel 1 and the plane M 2 What is the relationship between the two linesl 1,L2 L:x = 7+ 3t, y= 2+2t, z = 2 -t L2:x = 1+ 3t , y = -3- 2t, z =1+t M:x - 4y + 5z = 8

Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

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Q: A line contains the point P(2, 4, 2). Point Q(6, 0, 4) is not on the line. The angle made with the…

A: We sketch the situation roughly. Distance between P and Q is:

Q: given tow lines (2t+1, 5t-5, 10t)and (3t, 2t+3, 2t+1) located the plane  find the plane

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Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

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Q: Which of the following statement(s) are TRUE for the line that passes through the point P(1,0, 3)…

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Q: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

Q: 2y e that for all values of A and 1, the planes 2+2+2-1+2 ²2 - a b b 5y, 4z +3=0 intersect on the…

A: A

Q: For which values of the constant a does the plane \pi 1: x-ay-az=1, \pi 2: ax+y-z=a, \pi 3:…

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Q: The intersects Line Li: 0.5C1- x)= 2= 0.5z the plane defined by B(2,2っ7), C くりっ2) at point P- Find…

A: Given: The line L1: and the plane defined by the points

Q: Using the information in the table below, find the occupancy rate for the years 2021 to 2024 using…

A: Given α=0.3. Let At represent the actual values of the occupancy rate and Ft represent the forecast…

Q: Consider the line 7 = 67 +37 +1 (47 + 7 + 3k) and the plane x + y + z = 1. X Incorrect. (a) Where…

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Q: 3. Write an equation of the plane that is determined by the lines given by == and ==국 -2 z-2 -3 4 -1

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Q: Find an equation of the plane containing the lines given by 1-x = y = z+ 1 2 and * = y – 1 = z - 2…

A: From the given problem:, the plane containing lines are: 1-x2=y=z+1andx+1-2=y-1=z-2 So we can simply…

Q: b. A plane is uniquely determined by one point on the plane and two non-parallel vectors that are…

A: I have solved the question. Please go through that.

Q: 16. Let Li be the line with vector equation r (-2,3) + s(-1,3), s e R. Let L2 be the line with…

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Q: Consider symmetric equations of lines х-1 4 = = 2 - y = z and l2 = x = -1, = 2 3 Find: equation of…

A: The given lines are                   l1 : x-12=2-y=z and                l2 : x=-1, y-23=z-12

Q: Which of the following scenarios are required to be able to determine a plane? Two parallel and…

A: A plane is a two-dimensional flat surface that extends infinitely in all directions. It is defined…

Q: 6 (-). 5 to the vector p 13 (13). A line g passes through point A-1 10 and the line is parallel…

A: here we use simple form of line and plane.

Q: Question 3. Do the lines x=t, and x = 2t - 2, y = 2t - 1, 2 = 3t+1 intersect each other at only one…

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Q: 5. Determine the angle between each of the following pairs of planes. = 4 and (2, 4, −5) · (x − 2, y…

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: I. x+2y+2ze 3 plane and X-1-2+ its line is y= 2+3+ parallel, Z- 2-2+

A: Hello. Since your question has multiple questions, we will solve the first question for you. If you…

Q: two lines have equations L1: (x,y,z)=(0,1,3) + (1,-1,-2) and L2: (x,y,z) = (1+2€,-1--1-2+) a) the…

A: Approach to solving the question:1a) Finding the Point of IntersectionEquate coordinates: Set the x,…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.