Home
Class 11
MATHS
Find the equation of the line parallel t...

Find the equation of the line parallel to the vector `2bar(i)-bar(j)+2bar(k)`, and which passes through the point A whose position vector is `3bar(i)+bar(j)-bar(k)`. If P is a point on this line such that AP = 15, find the position vector of P.

Text Solution

Verified by Experts

The correct Answer is:
`bar(OP)=13bar(i)-4bar(j)+9bar(k)" (or) "-7bar(i)+6bar(j)-11bar(k)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.3 LONG ANSWER QUESTIONS|2 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.3 VERY SHORT ANSWER QUESTIONS|9 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos
  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

Find the Cartesian equation of the plane passing through the points with position vectors bar(i), bar(j) and bar(k) .

Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+bar(k))

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

Find the equation of the line passing through the point 2bar(i) and parallel to the vector bar(j)+bar(k) .

Find the vector equation of the line passing through the points bar(i)+bar(j)+bar(k) and bar(i)-bar(j)+bar(k) .

A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel to 2bar(i)-bar(j)+2bar(k) . If P is a point such that AP=15 then bar(OP) is