Home
Class 12
MATHS
Find the equation of line in Cartesian f...

Find the equation of line in Cartesian form passing Through (0, 1, 2) and is parallel to a vector
which have direction ratios (3, -1, 1) ?

Text Solution

Verified by Experts

We know that equation of line in Cartesian form which passes through `(x_(1), y_(1), z_(1))` and is parallel
to vector having direction ratios (a, b, c) is given by
`(x-x_(1))/a = (y-y_(1))/b = (z-z_(1))/c`
Here `(x_(1), y_(1), z_(1))-=(0, 1, 2)`
`(a, b, c) -= (3, -1, 1)`
so equation will be
`(x-0)/3 = (y-1)/(-1)=(z-2)/1`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise Illustration|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of line which passes through a point (-1, 2, 3) and is parallel to a vector having direction ratios (3, 4, 2).

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5=0

Equation of plane passing through (1,0,1),(3,1,2) and parallel to the vector i-j+2k is

Find the equation of the line in vector form passing through the points (2, -1, 3) and (3, 1, 2)

Find the equation of the plane passing through the points (2,2,-1) and (3,4,2) and parallel to the line whose direction ratios are (7,0,6)

Find the equation of the line in vector form passing through the points (1, 1, 0) and (-3, -2, -7).

Find the vector equation of a plane passing through the point (1,2,3) and parallel to the lines whose direction ratos are (1,-1,-2) and (-1,0,2) .

Find the equation of a plane passing through (1,1,1) and parallel to the lines L_(1) and L_(2) direction ratios (1,0,-1) and (1,-1,0) respectively.Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.

Find the Cartesian equations of the line passing through (-1,-1,2) and parallel to the line 2x-2=3y+1=6z-2

Find the vector equation for the line passing through the points (-1,0,2) and