Which of the following planes is normal to the line given as: x = 2t + 3, y = 5t - 7, z = t - 4 O a. O b. O C. O d. 2x + 5y + z = 12 2tx + 5ty + t = 0 5x - 2y = 0 3x - 7y4z = 14

Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

Q: 18. Find the points of intersection of the lines 4₁: R= 2i + 3j + 3k + t(i-2j + 5k) y +1 2 12: x + 3…

A: These two line not intersect

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: the distance between the two skew lines L and L2. L: x=3+3t, y=-1-4t, z=4+2t. L2: x=6+5p, y=3-p,…

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Q: 4x - 2y -d.A, where R is the parallelogram enclosed by the lines ° R-5x - 4y Find 4x - 2y =0, 4x -…

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Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: Determine whether the following two lines L1 and L2 are parallel, interesecting, or skew. L1: x/2 =…

A: Solve the following

Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

Q: You have three lines: LI: x = 3 + 2s, y = -1+4s, z 2-s L2: x = 3+ 2t, y 2 +t, z=-2+ 2t L3: x = 1+ 4u…

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Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Find the line of intersection between the lines: +1 and +.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Are the following lines parallel, intersect at a point, or skew? x = 4-3t y = 2+5t z = -2+t ----- x…

A: The objective of this question is to determine the relationship between two given lines in…

Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

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Q: The point on the line y= 2x+3 that is closest to the point (4,2) is (a,b). Then 5b – 20a= O a. 2 O…

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