Home
Class 12
MATHS
If either veca=vec0"or" vecb =vec0, "the...

If either `veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0`.Is the converse true? Justify your answer with an example.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

If either vecotor oversetrarra=oversetrarr0 " or " oversetrarrb=oversetrarr0, "then "oversetrarra.oversetrarrb=0. But the converse need not be true. Justify your answer with an example.

"All continuous function are not differentiable." Justify your answer with an example

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

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

The 4s subshell has more energy than 3p subshell. Is it true ? Justify your answer.

If veca.veca=0 and veca. vecb=0 , then what can be concluded about the vector vecb ?

If theta is the angle between any two vectors veca and vecb , then |veca.vecb|=|veca xx vecb| when theta is equal to a)0 b) pi/4 c) pi/2 d) pi

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  2. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  3. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

  4. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

    Text Solution

    |

  5. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  6. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |

  7. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

    Text Solution

    |

  8. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

    Text Solution

    |

  9. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

    Text Solution

    |

  10. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

    Text Solution

    |

  11. Write down a unit vector in XY plane making an angle of 30^@ with the...

    Text Solution

    |

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

    Text Solution

    |

  13. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

    Text Solution

    |

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

    Text Solution

    |

  15. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  16. if veca=hati+hatj+hatk, vecb=2 hati-hatj+3 hatk and vecc=hati-2 hatj+h...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The two adjacent sides of a parallelogram are '2 hati-4 hatj+5 hatk' a...

    Text Solution

    |

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

    Text Solution

    |