Home
Class 12
MATHS
Let p, q, r be three mutually perpendicu...

Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector R satisfies th equation p x ((X-q) x p) q x ((x-r)xq)+rx ((x-p) x r) Then x is given by :

A

`(1//2)(p+q-2r)`

B

`(1//2)(p+q+r)`

C

`(1//3)(p+q+r)`

D

`(1//3)(2p+q-r)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)|45 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

vec p,vec q, and vec r are three mutually perpendicular vectors of the same magnitude.If vector vec x satisfies the equation vec p xx((vec x-vec q)xxvec p)+vec q xx((vec x-vec r)xxvec q)+vec r xx((vec x-vec p)xxvec r)=0,thenvec x is given by a.(1)/(2)(vec p+vec q-2vec r) b.(1)/(2)(vec p+vec q+vec r) c.(1)/(3)(vec p+vec q+vec r) d.(1)/(3)(2vec p+vec q-vec r)

Let overset(to)(p) , overset(to)(q) , overset(to)(r ) be three mutually perpendicular vectors of the same magnitude. If a vectors overset(to)(X) satisfies the equation overset(to)(p) xx [(overset(to)(x) -overset(to)(q)) xx overset(to)(p)] + overset(to)(q) xx [(overset(to)(x)-overset(to)(r ))xx overset(to)(q)] + overset(to)(r ) xx [(overset(to)(x) - overset(to)(p)) xx overset(to)(r )]=overset(to)(0) " then " overset(to)(x) is given by

The roots of the given equation (p - q) x^2 + (q -r ) x + (r - p)=0 are

The roots of the equation (q-r)x^(2)+(r-p)x+(p-q)=0

x^(p-q).x^(q-r).x^(r-p)

The roots of the equation (x-p) (x-q)=r^(2) where p,q , r are real , are

If p, q, r are real and p ne q , then the roots of the equation (p-q)x^(2) +5(p+q) x-2(p-q) r are

In the equation (x-p)/(q)+(x-q)/(p)=(q)/(x-p)+(p)/(x-q),x is not equal to

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)
  1. The value of k for which the points A (1, 0, 3), B(-1, 3, 4), C(1, 2, ...

    Text Solution

    |

  2. Let a, b,c be distinct non-negative numbers. If the vectors ai + aj + ...

    Text Solution

    |

  3. Let p, q, r be three mutually perpendicular vectors of the same magnit...

    Text Solution

    |

  4. If a, b, c and d are unit vectors, then abs(a-b)^(2)+abs(b-c)^(2)+abs(...

    Text Solution

    |

  5. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

    Text Solution

    |

  6. The vectors a=2hati+hatj-2hatk, b=hati+hatj. If c is a vector such tha...

    Text Solution

    |

  7. A tangent is drawn to the curve y=8/x^2 in XY-plane at the point A(x...

    Text Solution

    |

  8. The vectors 3i - 2j + k, i - 3 j + 5k and 2i + j - 4k form the sides o...

    Text Solution

    |

  9. For unit vectors b and c and any non zero vector a, the value of {{(a+...

    Text Solution

    |

  10. Three non-coplanar vector a, b and c are drawn from a common initial p...

    Text Solution

    |

  11. A unit tengent vector at t = 2 on the curve x=t^(2)+2, y=4t^(3)-5,z=2t...

    Text Solution

    |

  12. A particle moves along a curve so that its coordinates at time t are x...

    Text Solution

    |

  13. Consider the parallelopiped wide sides a = 3i + 2j + k, b = I + j + 2k...

    Text Solution

    |

  14. A unit vector n perpendicular to the plane determined by the points A ...

    Text Solution

    |

  15. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  16. If a+b+c=0" and "abs(a)=3, abs(b)=5" and "abs(c)=7 then the angle betw...

    Text Solution

    |

  17. The vector ((i-j) times (j-k)) times (i+5k) is equal to

    Text Solution

    |

  18. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

    Text Solution

    |

  19. If vec a and vec b are two unit vectors and theta be the angle betwe...

    Text Solution

    |

  20. Vectors i + j + (m + 1) k, i + j + mk and i - j + mk are coplaner for

    Text Solution

    |