Home
Class 12
MATHS
If veca=2hati+2hatj+3hatk,vecb=-hati+2ha...

If `veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatkandvecc=3hati+hatj` are such that `veca+lambdavecb` is perpendicular to `vecc` , then find the value of `lambda`.

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.4|12 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise Miscellaneous Exercise on chapter 10|19 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.2|19 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

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

If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+3hatk are coplanar, then the value of m is -

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

If veca=2hati + 3hatj+ 8hatk is perpendicular to vecb= 4hati-4hatj + alphahatk , then find the value of alpha

veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perpendicular to each other , then the value of m is

If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk , find a unit vector parallel to the vector 2veca-vecb+3vecc .

Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hati - hatj-hatk A vector in the plane of veca and vecb whose projections on vecc is 1//sqrt3 is

If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -hatk , " then " vecb is

NCERT BANGLISH-VECTOR ALGEBRA-EXERCISE 10.3
  1. Find the angle between two vectors vecaandvecb with magnitudes sqrt(3)...

    Text Solution

    |

  2. Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

    Text Solution

    |

  3. Find the projection of the vector hati-hatj on the vector 7hati+hatj.

    Text Solution

    |

  4. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

    Text Solution

    |

  5. Show that each of the given three vectors is a unit vector. (1)/(7)(2h...

    Text Solution

    |

  6. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

    Text Solution

    |

  7. Evaluate the product (3veca-5vecb)*(2veca+7vecb).

    Text Solution

    |

  8. Find the magnitude of two vectors vecaandvecb , having the same magni...

    Text Solution

    |

  9. Find |vecx|, if for a unit vector veca,(vecx-veca)*(vecx+veca)=12.

    Text Solution

    |

  10. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatkandvecc=3hati+hatj are...

    Text Solution

    |

  11. Show that |veca|vecb+|vecb|veca is perpendicular to |veca|vecb-|vecb|...

    Text Solution

    |

  12. If veca*veca=0andveca*vecb=0 , then what can be concluded about the ve...

    Text Solution

    |

  13. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , fin...

    Text Solution

    |

  14. If either vector veca=vec0orvecb=vec0, , then veca*vecb=0. But the c...

    Text Solution

    |

  15. If either vector A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)...

    Text Solution

    |

  16. Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

    Text Solution

    |

  17. Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk f...

    Text Solution

    |

  18. If veca is a nonzero vector of mangitude 'a' and lambda a nonzero scal...

    Text Solution

    |