Home
Class 12
MATHS
If veca and vecb are two vectors and ang...

If `veca and vecb` are two vectors and angle between them is `theta` , then

A

`|atimesb|^(2)+(a*b)^(2)=|a|^(2)|b|^(2)`

B

`|atimesb|=(a*b), if theta=(pi)/(4)`

C

`atimesb=(a*b)hat(n)`, (where `hat(n)` is a normal unit vector), if `theta=(pi)/(4)`

D

`|atimesb|*(a+b)=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|71 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are unit vectors and theta is the angle between them then show that |veca-vecb|=2sin.(theta)/(2)

Let veca and vecb be two unit vectors and alpha be the angle between them, then veca + vecb is a unit vector , if alpha =

vecA and vecB are two vectors and theta is the angle between them, if |vecA xx vecB|=sqrt(3)(vecA.vecB) the value of theta is:-

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: The value of sin(theta/2) is (A) 1/2 |veca-vecb| (B) 1/2|veca+vecb| (C) |veca-vecb| (D) |veca+vecb|

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If vecc is a unit vector and equal to the sum of veca and vecb the magnitude of difference between veca and vecb is (A) 1 (B) sqrt(2) (C) sqrt(3) (D) 1/sqrt(2)

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca,|veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If |vecc|=4, theta = cos^-1(1/4) and vecc=2vecb+tveca, then t= (A) 3,-4 (B) -3,4 (C) 3,4 (D) -3,-4

If veca and vecb are unit vectors, then angle between veca and vecb for sqrt3 ​ veca − vec b to be unit vector is

If veca and vecb are unit vectors inclined at an angle theta , then the value of |veca-vecb| is

if veca and vecb are unit vectors such that veca. vecb = cos theta , then the value of | veca + vecb| , is

If veca and vecb are two vectors of magnitude 1 inclined at 120^(@) , then find the angle between vecb and vecb-veca .

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

    Text Solution

    |

  2. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , then

    Text Solution

    |

  3. If veca and vecb are two vectors and angle between them is theta , the...

    Text Solution

    |

  4. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    Text Solution

    |

  5. vec b,vec c being non-collinear if vec a xx (vec bxxvec c)+(vec a*ve...

    Text Solution

    |

  6. If in triangle A B C , vec A B= vec u/(| vec u|)- vec v/(| vec v|)a n ...

    Text Solution

    |

  7. If a, b and c be the three non-zero vectors satisfying the condition a...

    Text Solution

    |

  8. Given the following informations about the non-zero vectors A, B and C...

    Text Solution

    |

  9. Let a, b and c are non-zero vectors such that they are not orthogonal ...

    Text Solution

    |

  10. Given three vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(...

    Text Solution

    |

  11. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

    Text Solution

    |

  12. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

    Text Solution

    |

  13. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

    Text Solution

    |

  14. If veca and vecb are two unit vectors perpendicular to each other and...

    Text Solution

    |

  15. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

    Text Solution

    |

  16. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then the vectors (a*hat...

    Text Solution

    |

  17. If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and v...

    Text Solution

    |

  18. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

    Text Solution

    |

  19. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  20. If a, b, c are three non-zero vectors, then which of the following sta...

    Text Solution

    |