Question

What is the length of the projection of the unit vector of the direction unit vector...

What is the length of the projection of the unit vector of the direction unit vector of the line x = 1 + 2t, y = 3-t, z = 5 + 2t overthe vector of the plane 2x + 3y-6z + 8 = 0? If your answer is a fraction write it in the abcd / efgh style (no spaces between what you write)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Find the distance between the skew lines l1 and l2 given with the vector equations...
(a) Find the distance between the skew lines l1 and l2 given with the vector equations l1 : r1(t) = (1+t)i+ (1+6t)j+ (2t)k; l2 : r2(s) = (1+2s)i+ (5+15s)j+ (−2+6s)k. (b) Determine if the plane given by the Cartesian equation −x + 2z = 0 and the line given by the parametric equations x = 5 + 8t, y = 2 − t, z = 10 + 4t are orthogonal, parallel, or neither.
1) Find an equation of the plane. The plane through the point (7, 0, 4)and perpendicular...
1) Find an equation of the plane. The plane through the point (7, 0, 4)and perpendicular to the line x = 3t,y = 3 − t,z = 1 + 7t 2) Consider the following planes.x + y + z = 2, x + 6y + 6z = 2 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b)Find the angle between the planes. (Round your answer to one decimal...
1. a) Find a value of x other than 0 such that the vectors <-3x, 2x>...
1. a) Find a value of x other than 0 such that the vectors <-3x, 2x> and <4, x> are perpendicular b) find the domain of the vector function r (t) = <sin (t), ln (t), 1 / (t-1)> c) Determine if the sequence converges or diverges, if it converges determines its limit ln (2 + e ^ n) / 2020n d) Find the point (a, b, c) where the line x = 1-t, y = t, z = 1...
please answer all of them; only need final answer h. The length of the vector c...
please answer all of them; only need final answer h. The length of the vector c = (2, -3, 1) is? i. If |r| = 4, then the value of |-5r| is? j. The cross product of vectors a = (-1, 4, 6) and b = (3, 0, 2) is? k. The vectors v = (3, 4) is projected onto the x-axis The length of the projection is? l. Rounded to the nearest integer, a two-dimensional vector with length 13...
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i)...
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i) Write the positive vector tangent of the curve with parametric equations above. ii) Find the length function s(t) for the curve. iii) Write the position vector of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.
A plane wave of wavelength 100 nm is polarized along z direction and travelling along -x...
A plane wave of wavelength 100 nm is polarized along z direction and travelling along -x direction with the electric field amplitude of 300 V/m (in vacuum). The maximum value of wave is at t=0 and x=0. Write the wave equation of magnetic field Calculate the intensity and Poynting vector of electromagnetic wave.
Consider plane P: 4x -y + 2z = 8, line: <x, y, z> = <1+t, -1+2t,...
Consider plane P: 4x -y + 2z = 8, line: <x, y, z> = <1+t, -1+2t, 3t>, and point Q(2,-1,3) b) Find the perpendicular distance between point Q and plane P
Please write down the details of reasons for your solutions. Thanks. Questions 2 a) Let f(x,y)...
Please write down the details of reasons for your solutions. Thanks. Questions 2 a) Let f(x,y) = sin (y^2 + e^(2x)). Find f(xy) and f(yx) and verify their equality. b) Find the equation of the tangent plane to the surface z=e^(2x)*cos(3y) at P (0, pi/3, -1) c) Find the direction in which the function f(x,y) = ((x-2y)/(2x+y))^(1/3) increases most rapidly at (1,0).
Let P(u) be the linear function mapping vector x ∈ Rn to the difference between x...
Let P(u) be the linear function mapping vector x ∈ Rn to the difference between x and the projection of xon the line L(0,u) (the line through zero with direction u.) What is the smallest and second smallest eigenvalue of P(u)?
1)Find sets of parametric equations and symmetric equations of the line that passes through the two...
1)Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (5, 0, 2),    (7, 10, 6) Find sets of parametric equations. 2) Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (2, 1, 4) and is parallel to...