Home
Class 12
MATHS
The position vectors of two points P and...

The position vectors of two points P and Q are `hat(i)+2hat(j)-hat(k)" and "-hat(i)+hat(j)+hat(k)` respectively. Find the position vector of a point R which divides the line `bar(PQ)` in the ratio 2 : 1 internally.

Text Solution

Verified by Experts

The correct Answer is:
`(-hat(i)+4hat(j)+hat(k))/3`
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - C|14 Videos
  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - D|9 Videos
  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos
  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -D|12 Videos
  • II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017

    SUNSTAR PUBLICATION|Exercise PART-E|2 Videos

Similar Questions

Explore conceptually related problems

If the position vectors of vec(A) and vec(B) are 3hat(i) - 2hat(j) + hat(k) and 2hat(i) + 4hat(j) - 3hat(k) the length of vec(AB) is

If vector bar(AB) = 2 hat(i) - hat(j) + hat(k) and bar(OB) = 3 hat(i) - 4hat(j) + 4 hat(k) , find the position vector bar(OA)

If the vectors 2hat(i) + 3hat(j) - 6hat(k) and 4hat(i) - m hat(j) - 12 hat(k) are parallel find m.

Find the position vectors of a point R which divides the line joining two points P and Q whose position vectors are hat(i)+2hat(j)-hat(k)- and - hat(i)+hat(j)-hat(k) respectively, in the ration 2:1 . (i) Internally, (ii) Externally.

The dot product of a vector with the vectors hat(i) - 3hat(k) , hat(i) - 2hat(k) and hat(i) + hat(j) + 4hat(k) are 0, 5 and 8 respectively. Find the vector.

The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), 2hat(i) + 3hat(j) -hat(k) is

If a hat(i) + 6hat(j) - hat(k) and 7hat(i) -3hat(j) + 17hat(k) are perpendicular vectors, then the value of a= ….

If the vecotrs a hat(i) + hat(j) -2 hat(k) and -12 hat(i) + 4hat(j) + 8 hat(k) are perpendicular then the value of a is equal to

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .