Home
Class 12
MATHS
If veca is a unit vector and (vecx-veca)...

If `veca` is a unit vector and `(vecx-veca)*(vecx+veca)=8`, then find `|vecx|`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.1|5 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise EXERCISE 10.2|19 Videos

  • RELATIONS AND FUNCTIONS

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

Similar Questions

Explore conceptually related problems

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

If veca and vecb are two non collinear unit vectors and iveca+vecbi=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

If hatn is a unit vector in the direction of the vector vecA , then hatn is

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0 , find the value of veca*vecb+vecb*vecc+vecc*veca .

If vector (veca+ 2vecb) is perpendicular to vector (5veca-4vecb) , then find the angle between veca and vecb .

If vecA+vecB is a unit vector along x-axis and vecA=hati-hatj+hatk , then what is vecB ?

What is the value of (vecA + vecB) * ( vecA xx vecB) ?

What is the value of (vecA+vecB)xx(vecA-vecB) ?

(vecA+2vecB).(2vecA-3vecB) :-

If vecA+vecB is a unit vector along x-axis and vecA = hati-hatj+hatk , then what is vecB ?

NCERT GUJARATI-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. If veca is a unit vector and (vecx-veca)*(vecx+veca)=8, then find |vec...

    Text Solution

    |

  2. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

  3. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  4. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  5. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  6. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

  7. A vector has magnitude 5 units. It is parallel to the resultant vector...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , ...

    Text Solution

    |

  10. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  11. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

  12. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  14. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is angle between two vectors vec(a) and vec(b) then vec(a).ve...

    Text Solution

    |

  17. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

    Text Solution

    |

  18. The value of hati.(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |