Home
Class 11
MATHS
If the position vectors of orthocentre a...

If the position vectors of orthocentre and circumcentre of triangle ABC are respectively `3bar(i)+2bar(j)-4k and bar(i)+6bar(j)-10bar(k)` then find the position vector of the nine point centre of `DeltaABC`

Text Solution

Verified by Experts

The correct Answer is:
`2bar(i)+4bar(j)-7bar(k)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.1 VERY SHORT ANSWER QUESTIONS|14 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 1.1 SHORT ANSWER QUESTIONS|16 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise SOLVED EXAMPLES|13 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 position vector of the point which divides the line joining the points bar(i)+bar(j)-4bar(k) and bar(i)+bar(j)+bar(k) in the ratio 3 : 2.

The position vector of a point lying on the line joining the points whose position vectors are bar(i)+bar(j)-bar(k) and bar(i)-bar(j)+bar(k) is

If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3bar(j)+8bar(k) then the unit vector in the direction of vec(AB) is

If bar(a) = bar(i) - bar(j)-bar(k), bar(b) = 2bar(i) - 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar(i)+5bar(j)+5bar(k), 4bar(i)+2bar(j)-2bar(k), 6bar(i)+5bar(j)-bar(k) respectively then the position vector of the point of intersection of lines AB and CD is

The vector of magnitude 3sqrt(6) along the bisector of the angle between the vectors 4bar(i)-7bar(j)+4bar(k) and bar(i)+2bar(j)-2bar(k) is

If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k) then find the projection vector of bar(b) on bar(a) and its magnitude.

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=2bar(i)-3bar(j)-bar(k) , find the unit vector in the direction of bar(a)+bar(b) .