Grade 12th passDifferential Calculus
Find the Point on the plane 4x+3y+z=2 that is Closest to (1,-1,1).
Find the Point on the plane 4x+3y+z=2 that is Closest to (1,-1,1).
2 Answers
Arun
we have to find out foot of perpendicular from (1, - 1,1) to the given plane
x -1 /4 = y +1/3 = z – 1/1 = – 2(0) / 26
x -1 /4 = y +1/3 = z – 1/1 = 0
hence x =1, y = -1, z = 1
Means (1, – 1, 1) lies on givne plane
Hope it helps
Vikas TU
Dear student
Dear student
The normal vector to the plane is (4,3,1)
P = (1,-1,1) + c(4,3,1) = (1+4c, -1+3c , 1+c)
4(1+4c) +3(-1+3c) + 1+c = 1
26c +2 = 1
c = -1/26
P = (1,-1,1) - 1/26 ( 4,3,1)
P = (0.84 , -1.11 , 0.96)
The normal vector to the plane is (4,3,1)
P = (1,-1,1) + c(4,3,1) = (1+4c, -1+3c , 1+c)
4(1+4c) +3(-1+3c) + 1+c = 1
26c +2 = 1
c = -1/26
P = (1,-1,1) - 1/26 ( 4,3,1)
P = (0.84 , -1.11 , 0.96)
Hope this helps
Other Related Questions on differential calculus
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
differential calculus
Last Activity: 3 Years ago
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Find dy/DX when y=x^sinx+sin-1√x.
Please give me the solution of this problem.
differential calculus
Last Activity: 4 Years ago
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
Last Activity: 4 Years ago
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
Last Activity: 4 Years ago
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
Last Activity: 4 Years ago