Home
Class 12
MATHS
If veca=x hati+y hatj+z hatk, vecb=y ha...

If `veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z hati+x hatj+y hatk`, then `veca xx (vecb xx vec c)` is :

A

Parallel to `(y-z)hati+(z-x)hatj+(x-y)hatk`

B

Orthogonal to `hati+hatj+hatk`

C

Orthogonal to `(y+z)hati+(z+x)hatj+(x+y)hatk`,

D

Orthogonal to `xhati+y hatj+z hatk`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|18 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|3 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|16 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2hati +hatj - hatk and vec(c) = hati +3hatj - 2hatk then find vec(a) xx (vec(b) xx vec(c)) .

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2 hati - hatj - hatk and vec(c) = hati +3 hatj - 2hatk find (vec(a) xx vec(b)) xx vec(c)

If veca = 5 hati- 4 hatj + hatk, vecb =- 4 hati + 3 hatj - 2 hatkand vec c = hati - 2 hatj - 2 hatk, then evaluate vec c. (veca xx vecb)

If vec a=3hati-hatj+4hatk, vecb=2hati+3hatj-hatk and vec c=-5hati+2hatj+3hatk , then vec a.(vecb xx vec c) is

If veca = 2hati -3hatk and vecb =hati + 4hatj -2hatk " then " veca xx vecb is

If vecA = 2hati + hatj -3hatk, vecB = hati- 2hatj + hatk and vecC = - hati + hatj - 4hatk , Calculate (i) vecA.(vecB xx vecC), (ii)vecC (vecAxx vecB), (iii) vecA xx (vecB xx vecC)

If vec r = 3 hati + 2 hatj - 5 hatk , vec a= 2 hati - hatj + hatk, vec b = hati + 3 hatj - 2hatk and vec c=2 hati + hatj - 3 hatk " such that " hat r = x vec a +y vec b + z vec c then

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati + hatj + hatk,vecb=hati + 2hatj + 2hatk ,vecc= hati + hatj + 2hatk and [vecavecbveci] hati+ [vecavecb vecj] hatj+ [veca vecb hatk] k is equal to

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

  2. Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...

    Text Solution

    |

  3. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

    Text Solution

    |

  4. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

    Text Solution

    |

  5. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

    Text Solution

    |

  6. The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...

    Text Solution

    |

  7. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

    Text Solution

    |

  8. If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...

    Text Solution

    |

  9. Let hata and hatc are unit vectors and |vecb|=4. If the angle between...

    Text Solution

    |

  10. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

    Text Solution

    |

  11. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  12. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  13. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA1B1C1 is equal to 3. If the...

    Text Solution

    |

  15. If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...

    Text Solution

    |

  16. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

    Text Solution

    |

  17. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

    Text Solution

    |

  18. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

    Text Solution

    |

  19. Which of the following statement(s) is/are incorrect ?

    Text Solution

    |

  20. The lines with vector equations are, vecr(1)=3hati+6hatj+lambda(-4hat...

    Text Solution

    |