Home
Class 12
MATHS
Find the eqution of a line which is p...

Find the eqution of a line which is
parallel to `2hat(i)+hat(j)-hat(k)` and passes through the point (1,2,3).

Text Solution

Verified by Experts

The correct Answer is:
`vec(r)=hat(i)+2hat(j)+3hat(k)lamda(2hat(i)+hat(j)-hat(k))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION IV) Short Answer Type Questions |18 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION V) Short Answer Type Questions |10 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) Short Answer Type Questions |12 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos
  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

Find the eqution of a line which is parallel to hat(i)+hat(j)+hat(k) and passes through the point (2,3,1).

Find the equation of straight line parallel to 2hat(i)-hat(j)+3hat(k) and passing through the point (5, -2, 4) .

Find the eqution of a line which is passes through the point (1,1,1) and parallel to 2hat(i)+hat(j)-3hat(k) .

Find the equation of the line through the point (1,2,0) and is parallel to the vector 2hat(i)+3hat(j)-5hat(k) .

The vector equation of the plane through the point 2hat(i)-hat(j)-4hat(k) and parallel to the plane rcdot(4hat(i)-12hat(j)-3hat(k))-7=0 is

Find the vector and cartesion equation of the line through the point with position vector 2hat(i)-hat(j)+3hat(k) and in the direction of hat(i)+2hat(j)-hat(k)

The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

Find the vector equation of the plane passing through the intersection of the planes vec(r)*(2hat(i)+2hat(j)-3hat(k))+7=0 and vec(r)*(2hat(i)+5hat(j)+3hat(k))=9 and passing through the point (2,1,3).

Find the equation of the plane through the intersection of the planes vec(r)*(2hat(i)+hat(j)+3hat(k))=7 and vec(r)*(2hat(i)+3hat(j)+3hat(k))=9 and passing through the point (2,1,3).

Find the equation of plane passing through (a,b,c) and parallel to the plane vec(r).(hat(i)+hat(j)+hat(k))=2