Home
Class 12
MATHS
If vec a^'= hat i+ hat j , vec b^'= hat...

If ` vec a^'= hat i+ hat j , vec b^'= hat i- hat j+2 hat k` and `vec c^' = 2 hat i+ hat j- hat k ,` then the altitude of the parallelepiped formed by the vectors ` vec a , vec b` and `vec c` having base formed by ` vec b` and `vec c` is (where ` vec a '`is reciprocal vector ` vec a` )

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and vec c=z hat i+x hat j+y hat k , then vec axx( vec bxx vec c) is

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

If vec a= hat i+hat j- hat k, vec b= -hat i+2 hat j+ hat k and vec c = - hat i+2 hat j- hatk , then show that the unit vector perpendicular to vec a+ vec b and vec b+ vec c is hat k .

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If veca and vecb are unit vectors, then angle between veca ...

    Text Solution

    |

  2. If vec a| vec b , then vector vec v in terms of vec aa n d vec b sa...

    Text Solution

    |

  3. If vec a^'= hat i+ hat j , vec b^'= hat i- hat j+2 hat k and vec c^' ...

    Text Solution

    |

  4. If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i , ...

    Text Solution

    |

  5. If unit vectors vec a and vec b are inclined at angle 2theta such t...

    Text Solution

    |

  6. Let vec a , vec ba n d vec c be three non-coplanar vectors and ve...

    Text Solution

    |

  7. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  8. A ,B ,Ca n dD are four points such that vec A B=m(2 hat i-6 hat j+2 h...

    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. If hat a , hat b ,a n d hat c are unit vectors, then | hat a-hat b|^2...

    Text Solution

    |

  11. Which of the following expressions are meaningful? a. vec u.(vec vx...

    Text Solution

    |

  12. Find the value of lambda if the volume of a tetrahedron whose vertic...

    Text Solution

    |

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

    Text Solution

    |

  14. If ( vec axx vec b)xx( vec cxx vec d).( vec axx vec d)=0 , then which ...

    Text Solution

    |

  15. Vector 1/3(2hati-2hatj+hatk) is (A) a unit vector (B) makes an angle ...

    Text Solution

    |

  16. Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= ...

    Text Solution

    |

  17. The scalars l and m such that l vec a+m vec b= vec c ,where vec a , v...

    Text Solution

    |

  18. If O A B C is a tetrahedron where O is the origin and A ,B ,a n dC are...

    Text Solution

    |

  19. If K is the length of any edge of a regular tetrahedron, then the dist...

    Text Solution

    |

  20. In triangle A B C , a point P is taken on A B such that A P//B P=1//3...

    Text Solution

    |