Home
Class 12
MATHS
Vector 1/3(2i-2j+k) is (A) a unit vect...

Vector `1/3(2i-2j+k)` is (A) a unit vector (B) makes an angle `pi//3` with vector `(2 hat i-4 hat j+3 hat k)` (C) parallel to vector `(- hat i+ hat j-1/2 hat k)` (D) perpendicular to vector `3 hat i+2 hat j-2 hat k`

Promotional Banner

Topper's Solved these Questions

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

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

Find the projection of the vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat k

Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are parallel and perpendicular to the vector . hat i+ hat j+ hat k Then the vectors are .

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

For what value lambda are the vectors vec a=2 hat i+\ lambda hat j+ hat k\ a n d\ vec b= hat i-\ 2 hat j+3 hat k perpendicular to each other?

For what value of lambda are the vector vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

Find the value of lambdadot If the vectors 2 hat i+lambda hat j+3 hat k\ a n d\ 3 hat i+2 hat j-4 hat k are perpendicular to each other.

Unit vector along the vector hat(i) + hat(j) + hat(k) is

For what value of lambda are the vectores vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

    Text Solution

    |

  2. If ( vec axx vec b)xx( vec cxx vec d)dot( vec axx vec d)=0 , then whic...

    Text Solution

    |

  3. Vector 1/3(2i-2j+k) is (A) a unit vector (B) makes an angle pi//3 ...

    Text Solution

    |

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

    Text Solution

    |

  5. The scalarsla n dm such that l vec a+m vec b= vec c ,w h e r e vec a ,...

    Text Solution

    |

  6. If O A B C is a tetrahedron where O is the orogin anf A ,B ,a n dC are...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Let A B C D be a parallelogram whose diagonals intersect at P and le...

    Text Solution

    |

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

    Text Solution

    |

  11. if vec a=2 hat i- 3 hat j+hat k and vec b=hat i+2 hat j- 3hat k then...

    Text Solution

    |

  12. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and v...

    Text Solution

    |

  13. Find | -> axx -> b|, if -> a=2 hat i+ hat j+3 hat k and -> b=3 hat i...

    Text Solution

    |

  14. find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat ...

    Text Solution

    |

  15. The lengths of two opposite edges of a tetrahedron are a and b ; the...

    Text Solution

    |

  16. Volume of the parallelopiped whose adjacent edges are vectors veca ...

    Text Solution

    |

  17. If vectors vec A=2 hat i+3 hat j+4 hat k , vec B= hat i+ hat j+5 hat ...

    Text Solution

    |

  18. Let a=2i−j+k,b=i+2j−k and c=i+j−2k be three vectors. A vector in the p...

    Text Solution

    |

  19. Vectors vec Aa n d vec B satisfying the vector equation vec A+ v...

    Text Solution

    |

  20. if vecalpha||( vecbetaxx vecgamma) , then ( vecalphaxxbeta).(vecalpha...

    Text Solution

    |