find the image of the line x-1/3=y-3/1=z-4/(-4) in the plane 2x-y+z+3=0 is ?

This is urgent nd I want the equation of the line

Find the vector and Cartesian equations of the plane containing the two lines:

r=2i+j-3k+U(i+2j+5k) and r= 3i +3j+2k+T(3i-2j+5k)

find the equation of the plane through the line of intersection of the planes x+Y+Z=1 and 2x+3Y+4Z=5 which is perpendicular to the plane x-Y+Z=0.also find the distance of the plane obtained above ,from the origin

Find the acute angle between the plane 5x - 4y + 7z - 13 = 0 and the y axis .

If the x-coordinate of a point P on the join of Q(2,2,1)and R(5,1,-2) is 4,then its z=coordinate is

a)2

b)1

c)-1

d)-2

find the vector equation of a line passing through the point with position vector 2i-3j-5k and perpendicular to the plane r.(6i-3j+5k)+2=0

the foot of the perpendicular drawn from origin to the plane is the point with coordinates (2,5,7). find the equation of the plane

The direction ratios of two parallel lines are 4,-3,-1 and λ + μ,1+μ,2 . The value of the pair (λ,μ) is

1. (1,7)
2. (-1,-7)
3. (7,1)
4. No fixed value

Find the equation of the line passing through the point (2,-1,3) and equally inclined to the coordinate axis .

Please help soon .

Thank you .

if the line x=y=z intersect the line sinAx+sinBy+sinCz=2d², sin2Ax+sin2By+sin2Cz=d², then sin(A/2)sin(B/2)sin(C/2) is equal to(where A+B+C=​π)
(A)1/16 (B)1/8 (C)1/32 (D)1/12
Please explain step by step

find the coordinates of foot of perpendicular drawn from origin to plane 2x-3y+4z-6=0

The equations of a line passing through the point (-1,0,3) and perpendicular to the plane 4x+ 3y - 5z = 12are

a. (x-1)/4 = y/3 = (z+3)/-5

b. 5(3x -1) = 20(y -1) = -4(z -4)

c. (x+1)/-5 = y/3 = (z -3)/4

d. none of these

The direction cosines of the projections of the line x/(-2) = (y-1)/1 = (z+1)/(-1) on the plane 2x +y -3z =5 are

a. 2,-1,1

b. 2/(6)^1/2,-1/(6)^1/2,1/(6)^1/2

c. -2/7,1/7,-1/7

d. 2/(6)^1/2,-1/(6)^1/2,1/(6)^1/2

if a= i+2j+k , b= i-j+k and c= i+j-k. Fina a vector in the plane of a and b whose projection on c is 1/under root 3.

Find the vector equation of the plane which is at a distance of 6 / √29 from the origin it's normal vector from the origin is

2i^- 3 j^ + 4 k^. Also find it's cartesian form.

Plzzz meritnation experts,answer to my question as soon as possible!!!!!!!

Find the image of the point(1,6,3) in the line x/1=(y-1)/2=(z-2)/3.Also write eq of the line joining the given point and its image and find the length of the segment joining the given point and its image.

A hyperbola having the transverse axis of length 2sinθ , is confocal with ellipse 3x²+4y²-12=0 then its equation is ____________The answer is x²cosec² θ- y²sec² θ = 1 please explain me how

prove that sinx(1+cosx)has maximum value at x=pie/4

The three planes 4y+6z=5 , 2x+3y+5z=5 and 6x+5y+9z=10

A) meet in appoint B) have a line in common C) form a triangular prism D) do not meet at any point

What will be the directional ratios and coisines when a line is equally inclined to the axis ?

if a line makes 60 degree angle with positive direction of x and makes 45 degree with positive direction of Y. then what is the angle made by negative direction of Z

Find the equation of the plane through (2,1,-1) , perpendicular to the line of intersection of the planes 3x + 4y+7z+4 = 0 and x - y+2z+3 = 0.

Please help soon.

Thank you

Which of the following planes is equally inclined to the planes 4x+3y -5z =0 and 5x -12y+13z =0?

a. 11x -3y =0

b. 3x +11y =0

c. 3x +11y =65z

d. none of these