Home
Class 12
MATHS
Find the vector and cartesion equation ...

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)`

Text Solution

Verified by Experts

The correct Answer is:
`vec(r)=2hat(i)-hat(j)+4hat(k)+lamda(hat(i)+2hat(j)-hat(k));(x-2)/(1)=(y+1)/(2)=(z-4)/(-1)`
Promotional Banner

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 vector and cartesion equation of the line through the point (5,2,-4) and parallel to vector 3hat(i)+2hat(j)=8hat(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 equation of a sphere with centre having the position vector hat(i)+hat(j)+hat(k) and sqrt(3).

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 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 component of hat(a) in the direction of vector hat(i)+hat(j)+2hat(k) .

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find equations of the line in vector and Cartesian form.

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.