Home
Class 12
MATHS
Let vec ua n d vec v be unit vectors su...

Let ` vec ua n d vec v` be unit vectors such that ` vec uxx vec v+ vec u= vec w` and ` vec wxx vec u= vec vdot` Find the value of `[ vec u vec v vec w]dot`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

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

  • TRIGONOMETRIC EQUATIONS

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

Similar Questions

Explore conceptually related problems

Let vec u and vec v be unit vectors such that vec u xxvec v+vec u=vec w and vec w xxvec u=vec v. Find the value of [vec uvec vvec w]

If vec b is a unit vector such that (vec a+vec b)vec a-vec b=8, find |vec a|

Let vec u , vec va n d vec w be vectors such that vec u+ vec v+ vec w=0. If | vec u|=3,| vec v|=4a n d| vec w|=5, then vec udot vec v+ vec vdot vec w+ vec wdot vec u is 47 b. -25 c. 0 d. 25

12. If vec a&vec b, are unit vectors such that vec lvec a-vec b|=sqrt(3), then find |vec a+vec b|

Let vec a , vec b , vec c be the three unit vectors such that vec a+5 vec b+3 vec c= vec0 , then vec a. ( vec bxx vec c) is equal to

If vec a,vec b,vec c are unit vectors such that vec a+vec b+vec c=vec 0 find the value of vec a+vec b+vec bdot c+vec *vec a

If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec c = vec 0 find the value of vec a * vec b + vec b * vec c + vec c * vec avec a * vec b + vec b * vec c + vec c * vec a

Let vec a and vec b be unequal unit vectors such that vec a*((vec a-vec b)times(3vec a-4vec b))=vec a+vec b then the angle between vec a&vec b is

Let vec a and vec b be unequal unit vectors such that vec a.((vec a-vec b)times(3vec a-4vec b))=vec a+vec b then the angle between vec a&vec b is

If vec u and vec v are two vectors such that |vec u|=3,|vec v|=2 and |vec u xxvec v|=6 then the correct statement is

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. A straight line L intersects perpendicularly both the lines : (x+2)/...

    Text Solution

    |

  2. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  3. Let OA, OB, OC be coterminous edges of a cubboid. If l, m, n be the sh...

    Text Solution

    |

  4. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  5. Let vec v(0) be a fixed vector and vecv(0)=[(1)/(0)]. Then for n ge ...

    Text Solution

    |

  6. If a is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  7. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  8. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

  9. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  10. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  11. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  12. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

  13. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

    Text Solution

    |

  14. In above problem find the largest possible value of |vec(PQ)|.

    Text Solution

    |

  15. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  16. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |