Home
Class 12
MATHS
I . (j xx k) + j . (k xx i) + k . (i xx ...

`I . (j xx k) + j . (k xx i) + k . (i xx j) =`

A

0

B

minus 1

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

For any vector vec r , the value of i xx (vec r xx i) + j xx (vec r xx j) + k xx (vec r xx k) =

If vec a . i = vec a . (i+j) = vec a . (i+j+k) = 1 , then vec a =

(vec r . i) (vec r xx i) +(vec r .j) (vec r xx j)+ (vec r . k)(vec r xx k)=

If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1 , then vec a =

If I,j are unit vectors and I xx j = k then (i+j) xx (j-i) =

If a = I + j, b = j + k and c = k +i , a unit vector parallel to a + b + c is

The point (alpha, beta, gamma) lies on the plane x+y+z = 2. Let, vec a = alpha i + beta j +gamma k and k xx (k xx vec a) = vec 0 then gamma =

If vec a = 1/sqrt10 (3i+k) and vec b = 1/7 (2i+3j-6k) then the value of (2 vec a - vec b) . [(vec a xx vec b) xx vec a+ (vec a xx vec b) xx 2 vec b] is

The line of intersection of the planes vec r . (3i-j+k) =1 and vec r . (i+4j-2k) = 2 is parallel to the vector

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  2. If theta is the angle between any two vector vec a and vec b, then |ve...

    Text Solution

    |

  3. I . (j xx k) + j . (k xx i) + k . (i xx j) =

    Text Solution

    |

  4. Let vec a . vec b be two unit vectors and theta is the angle between t...

    Text Solution

    |

  5. If theta is the angle between two vectors vec a and vec b, then vec a ...

    Text Solution

    |

  6. Area of a rectangle having vertices A(-hat(i)+(1)/(2)hat(j)+4hat(k)), ...

    Text Solution

    |

  7. Let the vectors vec a and vec b be such that |vec a| = 3 and |vec b| =...

    Text Solution

    |

  8. If veca is a non-zero vector of magnitude a and vec(lamda a) a is a un...

    Text Solution

    |

  9. If ABCDEF is a regular hexagon then vec AD + vec EB + vec FC =

    Text Solution

    |

  10. If A, B, C are the vertices of a triangle whose position vectors are v...

    Text Solution

    |

  11. A unit vector parallel to the sum of the vectors 2 i + 3j -k and 4i...

    Text Solution

    |

  12. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

  13. Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k, a unit vecto...

    Text Solution

    |

  14. The direction cosines of the vector, 3i-4j+5k are

    Text Solution

    |

  15. If vec c is a unit vector perpendicular to vec a and vec b then the se...

    Text Solution

    |

  16. The area pf the triangle whose two sides are given by 4i - j + k and ...

    Text Solution

    |

  17. The adjacent sides of a parallelogram are i+2j+3k and 2i-j+k. Its area...

    Text Solution

    |

  18. The projection of vec a = 3i +2k on the vector vec b = 2i + 3j +k is,

    Text Solution

    |

  19. Find the sine of the angle between the vectors hati+2hatj+2hatkand3hat...

    Text Solution

    |

  20. If |vec a + vec b|^(2) = |vec a|^(2) +|vec b|^(2), then

    Text Solution

    |