Home
Class 12
MATHS
Points A and B have position vector vec(...

Points A and B have position vector `vec(a)=-3hat(i)+2hat(j)+7hat(k)` and `vec(b)=3hat(i)+4hat(j)-5hat(k)` respectively. Find : The direction ratios of `vec(AB)`

Text Solution

Verified by Experts

The correct Answer is:
`6, 2, -12`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : MCQs|11 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Very Short Type Questions|14 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

Similar Questions

Explore conceptually related problems

Points A and B have position vector vec(a)=-3hat(i)+2hat(j)+7hat(k) and vec(b)=3hat(i)+4hat(j)-5hat(k) respectively. Find : vec(AB)

Points A and B have position vector vec(a)=-3hat(i)+2hat(j)+7hat(k) and vec(b)=3hat(i)+4hat(j)-5hat(k) respectively. Find : |vec(AB)|

Points A and B have position vector vec(a)=-3hat(i)+2hat(j)+7hat(k) and vec(b)=3hat(i)+4hat(j)-5hat(k) respectively. Find : The direction cosines l, m, n of vec(AB)

If vec(a)=hat(i)+2hat(j)-hat(k) " and " vec(b)=3hat(i)+hat(j)-5hat(k) , find a unit vector in a direction parallel to vector (vec(a)-vec(b)) .

Find a unit vector in direction parallel to the sum of the vectors vec(a)=2hat(i)+4hat(j)-5hat(k) " and " vec(b)=hat(i)+2hat(j)+3hat(k) , find also the direction cosines of this vector.

(i) If the position vectors of the points A, B, C be 5hat(i)+3hat(j)+4hat(k), hat(i)+5hat(j)+hat(k) " and " -3hat(i)+7hat(j)-2hat(k) respectively, then show that the points B bisects the line-segment bar(AC) . (ii) The position vectors of the points P and Q are 5hat(i)-12hat(j)+5hat(k) " and " -4hat(i)+3hat(j)-hat(k) respectively. Find the position vectors of the trisection points of the line-segment bar(PQ) .

If the position vectors of the points P and Q are 2hat(i)+hat(k) " and " -3hat(i)-4hat(j)-5hat(k) respectively, then vector vec(OP) is -

The lines vec(r)=hat(i)+t(5hat(i)+2hat(j)+hat(k)) and vec(r)=hat(i)+s(-10hat(i)-4hat(j)-2hat(k)) are -

If vec(a)=2hat(i)-5hat(j)+3hat(k) " and " vec(b)=hat(i)-2hat(j)-4hat(k) , find the value of abs(3vec(a)+2vec(b)).

The position vectors of the points A and B are 3hat(i)-hat(j)+7hat(k) " and " 4hat(i)-3hat(j)-hat(k) , find the magnitude and direction cosines of vec(AB)