Home
Class 12
MATHS
Find the vector equation of a line passi...

Find the vector equation of a line passing through `(2, -1, 1)` and parallel to the line whose equation is `(X-3)/(2)=(Y+1)/(7)=(Z-2)/(-3)`.

Text Solution

Verified by Experts

The correct Answer is:
`r=2hat(i)-hat(j)+hat(k)+lambda(2hat(i)+7hat(j)-3hat(k)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|5 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

Find the cartesian as well as the vector equation of the line passing through : (0,-1,4) and parallel to the straight line : (-x-2)/1=(y+3)/7=(2z-6)/3

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

Find the equation of the lines through (- 2, -1) and are : parallel to line x = 0.

Find the vector equation of the line through the point (2,-1,-1) and is parallel to the line 6x-2=3y+1=2z-2 .

Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y=0 and 3y-z=0.

Find the equation of the plane passing through the points (3, 4, 1), (0, 1, 0) and parallel to the line (x+3)/(2)=(y-3)/(7)=(z-2)/(5)

Find the cartesian as well as the vector equation of the line passing through : (-1,2,3) and parallel to the line: (x-3)/2=(y+1)/3=(z-1)/6

Find the equations of a line through A(1,-1,0) and parallel to the line (x-2)/3=(2y+1)/2,(5-z)/1 .