Home
Class 12
MATHS
Statement I: If a is perpendicular to b ...

Statement I: If a is perpendicular to b and c, then `axx(bxxc)=0` Statement II: if a is perpendicular to b and c, then `bxxc=0`

A

Both statement I and statement II are correct and statement II is the correct explanation of statement I

B

both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Match Type Questions|4 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)a=c , then r =

F is always perpendicular to v and B in the formula F=q( v × B ) . is this statement true.

Statement-I The number of vectors of unit length and perpendicular to both the vectors hat(i)+hat(j) and hat(j)+hat(k) is zero. Statement-II a and b are two non-zero and non-parallel vectors it is true that axxb is perpendicular to the plane containing a and b

Statement-1 If U is universal set and B = U - A, then n(B) = n(U) - n(A). Statement-2 For any three arbitrary sets A, B and C, if C = A - B, then n(C ) = n(A) - n(B).

The two lines ax+by=c and a'x+b'y=c' are perpendicular if

Let ABC be a triangle and A -= (1,2) ,y = x be the perpendicular bisector of AB and x-2y+1=0 be the perpendicular bisector of angle C . If the equation of BC is given by ax+by-5 = 0 then the value of a -2b is

Statement I The equation |(x-2)+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo, 4) . Statemment II The number of point of intersection of the curve represent the solution of the equation. (a)Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I (b)Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I (c)Statement I is correct but Statement II is incorrect (d)Statement II is correct but Statement I is incorrect

Statement I: If A,B,C,D are angles of a cyclic quadrilateral then sum sin A=0. Statement II: If A, B, C, D are angles of cyclic quadrilateral then sum cos A=0.

Statement I two perpendicular normals can be drawn from the point (5/2,-2) to the parabola (y+1)^2=2(x-1) . Statement II two perpendicular normals can be drawn from the point (3a,0) to the parabola y^2=4ax .

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Statement I: If a is perpendicular to b and c, then axx(bxxc)=0 State...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec a , vec b and vec c be three non-zero vectors such that no ...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

    Text Solution

    |

  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  17. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  18. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  21. Find the 7th term of GP if the first term is 7 and common ratio is 2.

    Text Solution

    |