Home
Class 11
PHYSICS
The vector vecB= 5hati+2hatj-Shatk is pe...

The vector `vecB= 5hati+2hatj-Shatk` is perpendicular to the vector `vecA= 3hati+hatj+2hatk` if S =

A

1

B

4.7

C

6.3

D

8.5

Text Solution

Verified by Experts

The correct Answer is:
4
If `vecA bot vecB` then `vecA*vecB = 0 `
`" "(3hati+hatj+2hatk)*(5hati+2hatj-Shatk)=0`
`rArr 15+2-2S=0`
`rArr 2S = 17" "rArr " "S = 8.5`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise CROSS PRODUCT|15 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-II AIPMT/NEET & AIIMS (2006- 2018)|6 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise RESOLUTION OF VECTOR|8 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

For what value of x, the vector vecA=3hati+xhatj-4hatk is perpendicular to be vector vecB=2hati-2hatj+6hatk ?

A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

The vector veca coplanar with the vectors hati and hatj perendicular to the vector vecb=4hati-3hatj+5hatk such that |veca|=|vecb| is

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .

Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb=hati+hatj+hatk .

Find a unit vector perpendicular to both vectors vecA=3hati+4hatj and vecB=-3hati+7hatj .

The vector component of vector vecA =3hati +4hatj +5hatk along vector vecB =hati +hatj +hatk is :

Find the unit vector perpendicular to each of the vectors veca = 3hati+2hatj-3hatk and vecb = hati+hatj-hatk .

ALLEN-BASIC MATHEMATICS USED IN PHYSICS &VECTORS -DOT PRODUCT
  1. What is the angle between vecA and the resultant of (vecA + hatB) and...

    Text Solution

    |

  2. If ahati +bhatj is a unit vector and it iws perpendicular to hati +hat...

    Text Solution

    |

  3. Given that A=B. What is the angle between (vecA+vecB) and (vecA-vecB) ...

    Text Solution

    |

  4. The vector sum of two forces is perpendicular to their vector differen...

    Text Solution

    |

  5. A magnitude of vector vecA,vecB and vecC are respectively 12, 5 and 13...

    Text Solution

    |

  6. If vectors vecP, vecQ and vecR have magnitudes 5, 12 and 13 units and ...

    Text Solution

    |

  7. A vector perpendicular to (4hati-3hatj) may be :

    Text Solution

    |

  8. A force (3hati+2hatj) N displaces an object through a distance (2hati-...

    Text Solution

    |

  9. If vecP.vecQ=PQ then angle between vecP and vecQ is

    Text Solution

    |

  10. The resultant of vecA and vecB is perpendicular to vecA. What is the a...

    Text Solution

    |

  11. What is the component of (3hati+4hatj) along (hati+hatj) ?

    Text Solution

    |

  12. The vector vecB= 5hati+2hatj-Shatk is perpendicular to the vector vec...

    Text Solution

    |

  13. What is the projection of vecA on vecB ?

    Text Solution

    |

  14. The angle between the vectors (hati+hatj) and (hatj+hatk) is

    Text Solution

    |

  15. The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3ha...

    Text Solution

    |

  16. Let vec(A)=hat(i)A cos theta+hat(j)A sin theta, be any vector. Another...

    Text Solution

    |

  17. The vector vecP=ahati+ahatj+3hatj and vecQ=ahati-2hatj-hatk, are perpe...

    Text Solution

    |

  18. A force vecF= (3hati+4hatj) N acts on a body and displaces it by vecS=...

    Text Solution

    |

  19. The vector projection of a vector 3hat(i)+4hat(k) on y-axis is

    Text Solution

    |

  20. If a vector (2hati+3hatj+ 8hatk) is perpendicular to the vector (4hatj...

    Text Solution

    |