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

Solutions

Expert Solution

milcah 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 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)

Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector.

Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector. State the magnitude and coordinate direction angles of the resultant vector.

how do I find the direction vector u, given the direction angles of 60 75 and...

how do I find the direction vector u, given the direction angles of 60 75 and 34.3 degrees?

A) Find the directional derivative of the function at the given point in the direction of...

A) Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 5 + 6x√y, (5, 4), v = <8, -6> Duf(5, 4) = B) Find the directional derivative, Duf, of the function at the given point in the direction of vector v. f(x, y) =ln(x2+y2), (4, 5), v = <-5, 4> Duf(4, 5) = C) Find the maximum rate of change of f at the given point and the direction...

Find the directional derivative of the function at the given point in the direction of the...

Find the directional derivative of the function at the given point in the direction of the vector v. ? = (2? + 3?)2, ? ⃑ = 1 2 ? ⃑+ √3 2 ? ⃑, (-1,1,1)

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 =

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line...

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (2, 2.9, 3.6) and parallel to the vector 3i + 4j − k r(t) = (x(t), y(t), z(t)) =

1. Magnitude & Direction of Vector Write a function m-file to find the magnitude and the...

1. Magnitude & Direction of Vector Write a function m-file to find the magnitude and the direction of cosine of vector F which expresses 3 dimension - x, y, and z. Here are requirements for the function m-file. - Parameter-list (input(s)): · 3 dimensional vector · row vector or column vector - undetermined - Return Value (outputs): · Magnitude of a given vector, |F| = √ F2 x + F2 y + F2 z · Angles(degree) from direction of cosine...

Find the directional derivative of f at the given point in the direction indicated by the...

Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy), (0, 1), θ = π/4 Duf(0, 1) =

Subjects