Question: Find the distance from the point ( 1 , 2 , - 4 ) to the plane 5 x 2 y 5 z = 2

Find the distance from the point (1,2,-4) to the plane 5x2y5z=2.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

7. Match the following equations to the quadric surfaces shown. (One equation will be left unmatched.) 1. x2 = 322 + 2y2 4 Z 2. x2 = 322 - 2y2 3. x2 + 1 = 322+2y? 4. z + 1 =3x2+2y2 (a) (b) (c) 5. 22...

Q:

Please work out all questions clearly and legibly. Thank you very much. 8. Find the distance from the point (3,-1,2) to the line x - 2 + 2t, y = 1 + 6t, Z - 3. 9. Find the distance from the point...

Q:

2. [15 pts] a) Find parametric equations for the line L passing through the points P{2,l, 2} and Q{4, 2,1}. b) Find the point where the line L {as dened above) intersects the plane 2x+ 3 y + 42 = 36....

Q:

For the questions below consider the points P = (1, 0, 1), Q = (3, 1, 1) and R = (1, 2, 3). For the questions below consider the points 1' = {1,0, 1}j Q = {3, 1,1} and R = (1.,2, 3]. Question 1 {3...

Q:

Question 1: 12 Marks {Ll} Let H and V he the planes given by: (2} H:lx+5y2Az3=E, V:AX+}F+22+1:U. Determine for which value{s} of )l the planes H and 1? are: (a) orthogonal, (2} {I1} Parallel. (2}...

Q:

1) Find the dot product of 2i + 3j + 4k and i - 2j the Fa 2) Find a unit vector that is perpendicular to both i - 2j and 21 + 3j + 4k 2022 WRIT chang g 2 at 3) Find the equation of the line that...

Q:

Find the distance from the point Q(1,2, - 2) to the plane 2x - 7z =7. (Note that if P is a point on the plane ax + by + cz =d, then the distance from any point Q to the plane equals the length of the...

Q:

(a). Find the angle between the line x = 1-t, y=2+t, z=1-2t and the plane -2x-y-z-1= 0. (b). Find the intersection of the line and plane in part (a). QUESTION 10 Find the distance between the point...

Q:

Find the distance between the point (3, -2, 4) and the plane 2x - 5y + z = 10.

Q:

Question 1 Find the distance from the point (1, 2, 3) to the plane m+2y+22=6 06 015 05/3 Q1 04 05 02 O 3/5 5 pts

Q:

J. James Book Publishers is trying to decide whether to offer a 3% cash discount for payments made within 10 days, making its new terms 3/10, net 30. On average, its paying customers currently pay in...

Q:

(a) If the wavelength used in a double-slit experiment is decreased, the distance between adjacent maxima will (1) increase, (2) decrease, (3) remain the same. Explain. (b) If the separation between...

Q:

Revenues are recognized in the period they are measurable and avalable for spending and expendinures are recognized when they create an collgation to be paid from current Thancial resources under the...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...