Analytic Geometry Answers

Find the distance between the lines x+2y = 6 and 2x+4y =-9

Find the value of k so that the line y+5 = k(x-3) is numerically 3 unit distant from the origin.

its set of points parallel to the x-axis is 7 units away from (5,2)

find the equation of cone with vertex (alpha,beta,gama)and base y2-4ax=0,z=0.

Find the line of intersection of the two planes x+3y+z=5 and 4x+y+2z=15

Find the equation of the plane through the following three points:
(1,2,3) (2,4,5) and (4,5,7)

Find the polar equation of the line L perpendicular to the line angle=pi/3 at P(4,pi/3)

the orthocentre of the triangle formed by the lines x+y+1=0,x-y-1=0,3x+4y+5=0 is

a and b are vectors defined by a = 8i + 2j - 3k and b = 3i - 6j + 4k, where I,j,k are mutually perpendicular unit vectors. Calculate a and b.

a. 1
b. 0
c. 2
d. 4

a and b are vectors defined by a = 8i + 2j - 3k and b = 3i - 6j + 4k, where I,j,k are mutually perpendicular unit vectors. Show that a and b are perpendicular to each other.

a. 90
b. 45
c. 1
d. 0