et L7 be the line passing through the point P=(7, 14, 12) with direction vector d=[-2, -2, –3]', and let L, be the line passing through th oint P2=(9, -12, 1) with direction vector dz=[2, 0, –1]". ind the shortest distance d between these two lines, and find a point Q, on L7 and a point Q, on L, so that d(Q1,Q2) = d. Use the square pot symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0,0) 22 = (0, 0,0)

Q: Let L : +t 2 be a line and P(5, –1, -2) a point. Let Q be the closest point on L to P. !! a) Find…

A:

Q: Let Z be the line through the point Q = (4. 6. 2) and direction vector -[1. 2. 2]T Find the two…

A:

Q: Let L, be the line passing through the point P=(8, -6, 0) with direction vector a=-3, 3, 1]", and…

A: Given, L1 is the line passing through the point P1=8,-6,0 with the direction vector d1→=-3,3,1T. So,…

Q: Let L. be the line passing through the point P=(5, 1, 1) with direction vector [-1,5, -2], and let T…

A: Solution :

Q: Find the shortest distance from point P = (1,2,-3) to the plane which passes through (2,3,-1) and…

A:

Q: Depine P = (1,3), Q = (2,4), V = (-1), 3 line I₁ = P + [v] and l₂ = Q + [v] Find : a) d (P. ₂. le)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let L be the line through the point Q = (- 6, - 9, - 10) and direction vector d = [- 1, - 2, - 2]^T.…

A:

Q: Translate the image by the directed line segment from (0,0) to (4,1).

A:

Q: Let L7 be the line passing through the points Q1=(3,-5, –1) and Q2=(0, 4, –10). Find a value of k so…

A: Given that L1 be the passing through the points Q1=(3,-5,-1) and Q2=(0,4,-10). And the line  L2 be…

Q: Let v = (a) 27 t (5, 2, 5) and w= (1, 5, 0). - = 4w = (b) Let 3 (t, 1, 0). For which value(s) of t…

A:

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

A:

Q: Describe all points Q = (a, b, c) such that the line through Q with direction vector v intersects…

A: Given: To Find: All points Q = (a, b, c) such that the line through Q with direction vector v…

Q: Find the equation of a line parallel to 2x+y-3-0 passing through (-2, 3). 2y + x + 1 = 0 none of…

A: As per guidelines i can only solve the first question in multiple questions.Finding the equation of…

Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

A:

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

A:

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A:

Q: Let Lz be the line passing through the points Q1=(1, 3, 1) and Q2=(7, 12, 4). Find a value of k so…

A: We will solve the problem

Q: Let L, be the line passing through the point P-(1, -7, 5) with direction vector d-[1,-2, 0], and let…

A:

Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: Find ((x2 + 4y)i + 3 y j) · dř where C consists of the three line segments from (1,0,0) to (1,4, 0)…

A: