Home
Class 12
MATHS
Find the angle between the lines whose d...

Find the angle between the lines whose direction ratios are
p, q, r and q-r, r-p, p-q

Text Solution

Verified by Experts

The correct Answer is:
`pi/2`
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Short Answer Type Questions|29 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Long Answer Type question|6 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : MCQs|11 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

Find the angle between the straight lines : px-qy+r=0and(p+q)y+(q-p)x+r=0

The ratio in which he line-segment joining the points (p,q,r) and (-p, -r, -q) is divided by the zx-plane, is-

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

Let P Q and R S be tangent at the extremities of the diameter P R of a circle of radius r . If P S and R Q intersect at a point X on the circumference of the circle, then prove that 2r=sqrt(P Q xx R S) .

The forces P=1 dyn and Q = sqrt(3) dyn are mutually perpendicular. Find out the angle between the vectors (P+Q) and (P-Q) .

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

Match the following lists (where [x] represents the greatest integer function) and then choose the correct code. Codes : {:(,"a b c d"),((1),"s r q p"),((2),"q p s p"),((3), "s r p q"),((4),"p p q r"):}

Find the truth values of the following compound statements : (i) p^^(q^^r) " " (ii) (pvvq) vvr (iii) p^^(qvvr) " " (iv) (p^^q)vvr

Let's find the L.C.M of the following algebraic expressions. (p+q) (q+r), (q+r)(r+p), (r+p)(p+q)