Home
Class 12
MATHS
If |vec(a)|=3,|vec(b)|=2 and vec(a)*vec(...

If `|vec(a)|=3,|vec(b)|=2` and `vec(a)*vec(b)=0`, then write the value of `|vec(a)xxvec(b)|`.

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC -2 (PRACTICE QUESTIONS) (4 MARK QUESTIONS) |24 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC -2 (PRACTICE QUESTIONS) (6 MARK QUESTIONS) |12 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 1|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

Similar Questions

Explore conceptually related problems

If vec(a) .vec(b) = 0 , then write the value of vec(a) xx(vec(b) xx vec(c))

If vec(a)= vec(b) + vec( c) , then write the value of vec(a).(vec(b) xx vec(c ))

If vec(a) and vec(b) are two vectors, such that |vec(a)| = 2, |vec(b)| = 1 and vec(a).vec(b) = 1 , then find (3 vec(a) - 5vec(b)).(2vec(a) + 7vec(b)) .

ARIHANT PRAKASHAN-VECTORS -TOPIC -2 (PRACTICE QUESTIONS) (1 MARK QUESTIONS)
  1. It the vectors vec(a), vec(b) and vec(c) form the sides vec(BC), vec(C...

    Text Solution

    |

  2. If a = 3hat(i) + hat(j) + 2hat(k), b = 2hat(i) - 3hat(j) + 4hat(k), th...

    Text Solution

    |

  3. If |vec(a)|=3,|vec(b)|=2 and vec(a)*vec(b)=0, then write the value of ...

    Text Solution

    |

  4. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

    Text Solution

    |

  5. Write a vector normal to (hat(i)+hat(k)) and (hat(i)+hat(j)).

    Text Solution

    |

  6. Find the area of the parallelogram whose diagonals are the vectors 3ha...

    Text Solution

    |

  7. Determine the value of m, for which the following vectors are orthogon...

    Text Solution

    |

  8. Find the value of lambda such that the following vectors are coplanar...

    Text Solution

    |

  9. For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...

    Text Solution

    |

  10. Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...

    Text Solution

    |

  11. Determine mu, for which the vector vec(a)=mu(6hat(i)+2hat(j)-3hat(k)) ...

    Text Solution

    |

  12. Show that the vectors 2hat(i) + 3hat(j), 5hat(i) - 5hat(k) and 6hat(j)...

    Text Solution

    |

  13. If vec(a).vec(b) = 0 and vec(a) xx vec(b) = vec(0), then draw the conc...

    Text Solution

    |

  14. If vec(a)xxvec(b)=vec(b)xxvec(c )!=vec(0), then prove that vec(a)+ve...

    Text Solution

    |

  15. What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and ha...

    Text Solution

    |

  16. Determine the area of the parallelogram whose sides are the vectors 2h...

    Text Solution

    |

  17. Using vector method find the area of the triangle with vertices (1, 0,...

    Text Solution

    |

  18. Write the angle between vec(a) and vec(c ), if vec(a)xx(vec(b)xxvec(c ...

    Text Solution

    |

  19. What is (hat(i)-hat(j))*(hat(j)-hat(i)) ?

    Text Solution

    |

  20. (2hat(i)-4hat(j))*(hat(i)+hat(j)+hat(k))= . . . .

    Text Solution

    |