Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3,...

Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3, 3, 0]^T. Find the shortest distance d from the point P₀=(1, −5, −1) to L, and the point Q on L that is closest to P₀. Use the square root symbol '√' where needed to give an exact value for your answer.

d = 0

Q = (0, 0, 0)

Solutions

Expert Solution

ekkarill92 answered 1 year ago

Next > < Previous

Related Solutions

Let L1 be the line passing through the point P1=(−1, −2, −4) with direction vector →d=[1,...

Let L1 be the line passing through the point P1=(−1, −2, −4) with direction vector →d=[1, 1, 1]T, and let L2 be the line passing through the point P2=(−2, 4, −1) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your answer.

Let L1 be the line passing through the point P1=(−3, −1, 1) with direction vector →d1=[1, −2, −1]T, and let L2 be the line passing through the...

Let L1 be the line passing through the point P1=(−3, −1, 1) with direction vector →d1=[1, −2, −1]T, and let L2 be the line passing through the point P2=(8, −3, 1) with direction vector →d2=[−1, 0, 2]T. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your answer. d = Q1 = Q2 =

Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6) is:

Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through...

Find the intersection of the line passing through P=(21,21) and Q(−63,168) and the line passing through points R(21,0) and S(0,21) using vectors.

1-: ?(?) = ln (3 − √2? + 1) ? ′(0) =? 2-Passing through the point...

1-: ?(?) = ln (3 − √2? + 1) ? ′(0) =? 2-Passing through the point x = 1 and ? = 2? Perpendicular to the straight line tangent to 3 + 5? - 2 parabola what is the equation of the normal?

Find point PP that belongs to the line and direction vector vv of the line. Express...

Find point PP that belongs to the line and direction vector vv of the line. Express vv in component form. Find the distance from the origin to line L. 251. x=1+t,y=3+t,z=5+4t,x=1+t,y=3+t,z=5+4t, t∈R answers are a- P=(1,3,5) V=<1,1,4> b. Square root of 3 I want all work shown please. I do not understand how to get root 3

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with...

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with direction vector = (1, −3). b.)Determine a vector equation for the line through the points (-1, 4) and (2, -1). c.) Determine parametric equations for the line through (-2, 3) and parallel to the line with vector equation = (−2, 1) + t(6, 4). d .) A line passes through the point (-4, 1) and is perpendicular to the line with parametric equations...

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel...

1.) Write a slope-intercept equation for a line passing through the point (5,−3) that is parallel to the line 5x+7y=8. Then write a second equation for a line passing through the point (5,−3) that is perpendicular to the line 5x+7y=8. 2.) Write a slope-intercept equation for a line passing through the point (4,−3) that is parallel to the line 4x+5y=7. Then write a second equation for a line passing through the point (4,−3) that is perpendicular to the line 4x+5y=7....

The equation of the line that goes through the point (3,2) ( 3 , 2 )...

The equation of the line that goes through the point (3,2) ( 3 , 2 ) and is parallel to the line going through the points (−2,3) ( − 2 , 3 ) and (5,6) ( 5 , 6 ) can be written in the form ?=??+? where: m= b=

Problem 1 Part A: Write down an equation of the line L that is passing through...

Problem 1 Part A: Write down an equation of the line L that is passing through the point A(5,4) and is perpendicular to the vector n=<-3,4>. Part B: Find the unit vector u in the direction of n. Part C: Find the distance d(Q,L) from the point Q(7, 13) to line L. Part D: Find the coordinates of the point R on L that is closest to the point Q. Part E: Now find R by solving the distance minimization...

Subjects