Home
Class 14
MATHS
The projection of the vector vec(A)= hat...

The projection of the vector `vec(A)= hat(i)-2hat(j)+hat(k)` on the vector `vec(B)= 4hat(i)-4hat(j)+7hat(k)` is

A

`(sqrt9)/(6)`

B

`(19)/(9)`

C

`(9)/(19)`

D

`(sqrt6)/(19)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

Similar Questions

Explore conceptually related problems

What is the projection of the vector hat(i)-2 hat(j) + hat(k) on the vector 4hat(i) - 4hat(j)+ 7hat(k) ?

What is the projection of the vector hat(i)-2hat(j)-hat(k) on the vector 4hat(i)-4hat(j)+7hat(k) ?

The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) along vector vec(B) = hat(i) + hat(j) + hat(k) is

The unit vector parallel to the resultant of the vectors vec(A)= 4hat(i)+3hat(j)+6hat(k) and vec(B)= -hat(i)+3hat(j)-8hat(k) is

The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

A unit vector in the dirction of resultant vector of vec(A)= -2hat(i)+3hat(j)+hat(k) and vec(B)= hat(i)+2hat(j)-4hat(k) is

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

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

Find the unit vectors perpendicular to the plane of the vectors vec(a) = 2 hat(i) - 6 hat(j)- 3 hat(k) and vec(b)= 4 hat(i) + 3 hat(j) - hat(k).

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

PUNEET DOGRA-VECTOR-Prev Year Questions
  1. The projection of the vector vec(A)= hat(i)-2hat(j)+hat(k) on the vect...

    Text Solution

    |

  2. If the magnitude of sum of two vectors is equal to the magnitude of di...

    Text Solution

    |

  3. Simplify:- [(7)^2 + (9)^2]/5 = ?

    Text Solution

    |

  4. Consider the following statements: 1. The magnitude of vec(a) xx vec...

    Text Solution

    |

  5. If vec(a) and vec(b) are unit vectors and theta is the angle between t...

    Text Solution

    |

  6. If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3...

    Text Solution

    |

  7. If position vectors of two points A and B are 3hat(i)- 2hat(j) + hat(k...

    Text Solution

    |

  8. In a right angled triangle hypotenuse AC= p, then vec(AB). vec(AC ) + ...

    Text Solution

    |

  9. Find th esine of angles between vectors vec(a)= 2hat(i) - 6hat(j) - 3h...

    Text Solution

    |

  10. Find the value of lamda for which 3hat(i) + 4hat(j) - hat(k) and -2 ha...

    Text Solution

    |

  11. In a triangle ABC, if taken in order, consider the following statement...

    Text Solution

    |

  12. A spacecraft at hat(i) + 2hat(j) + 3hat(k) is subjected to a force la...

    Text Solution

    |

  13. What is (vec(a)- vec(b)) xx (vec(a) + vec(b)) equal to ?

    Text Solution

    |

  14. Let vec(a).vec(b) and vec(c ) be three mutually perpendicular vectors ...

    Text Solution

    |

  15. If |vec(a) | = 3, |vec(b)|= 4 and |vec(a)- vec(b)|=5, then what si the...

    Text Solution

    |

  16. A unit vector perpendicular to each of the vectors 2hat(i) - hat(j) + ...

    Text Solution

    |

  17. If vec(r )= x hat(i) + y hat(j) + z hat(k), then what is vec(r ). (ha...

    Text Solution

    |

  18. Let |vec(a)| # 0.|vec(b)| ne 0 (vec(a) + vec(b)). (vec(a) + vec(b)) = ...

    Text Solution

    |

  19. If the vectors vec(k) and vec(A) are parallel to each other, then what...

    Text Solution

    |

  20. if vec(a) + 2vec(b) + 3vec(c ) = 0 and vec(a) xx vec(b) + vec(b) xx ve...

    Text Solution

    |