х — 12 L: у — 20 z – 17 20 14 k Consider the line with kER-{0}, and the plane T:19x+4y+z=8. The value of k such that the line L is parallel to the planen corresponds to: a) 216 b) 324 c) -436 d) 435

Q: Determine the accuracy of the statements given below. X = 1- 2t I: x+ 2y+ 2z = 3 plane and y = 2+ 3t…

A:

Q: Consider the line L: (x-18)/3 = (y-3)/10 = (z-10)/ k, with k ∈ R - {0} and the plane π : 18x + 15y +…

A: The normal of plane will be perpendicular to the given line.

Q: 2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B…

A:

Q: Consider the two lines Lı : x = 2- 3t, y = -1+ 2t, z = and L2: r = 2+ s, y = -1- 3s, z = that…

A: We will find out the required equation of plane

Q: Let a and b be real numbers. Let L be the line defined as L:x = 5 – 5t, y = -9+t, z = a + bt, te R…

A: Here we will evaluate required values.

Q: Let a and b be real numbers. Let L be the line defined as L:x = 6 – 6t, y = -11+t, z= a+ bt, teR %3D…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

A:

Q: a) Find the point of intersection between the lines x = 2t, y =t+ 2, z = 3t – 1 x = 5k – 2, y = k+…

A:

Q: Consider two lines in space: L1: x = 1-t, y = 2+ 3t, z = t and L2:3 a) Show that the lines are…

A:

Q: Consider the plane II: -x + 2z= 10 and the line L: 2 +t -1 10 a) Determine if II and L are…

A: