Home
Class 12
MATHS
If the resultant of three forces vec ...

If the resultant of three forces ` vec F_1=p hat i+3 hat j- hat k , vec F_2=6 hat i- hat k and vec F_3=-5 hat i+ hat j+2 hat k` acting on a parricle has magnitude equal to 5 units, then the value of `p` is a. `-6` b. `-4` c. `2` d. `4`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If the resultant of three forces vec(F_(1))=phat(i)+3hat(j)-hat(k), vec(F_(2))=6hat(i)-hat(k) " and " vec(F_(3))=-5hat(i)+hat(j)+2hat(k) acting on a particle has a magnitude equal to 5 units, then the value of p is -

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k and vec c=lambda hat i+ hat j+2 hat k are coplanar, then find the value of (lambda-4) .

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

If vec a=x hat i+y hat j+z hat k , vec b=y hat i+z hat j+x hat k and vec c=z hat i+x hat j+y hat k , then vec axx( vec bxx vec c) is

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  2. Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- ...

    Text Solution

    |

  3. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , ve...

    Text Solution

    |

  4. Let vec a , vec b , vec c , vec d be the position vectors of the four...

    Text Solution

    |

  5. Statement 1:Let A( vec a),B( vec b)a n dC( vec c) be three points such...

    Text Solution

    |

  6. Statement 1: If | vec a+ vec b|=| vec a- vec b|, then vec a and vec b ...

    Text Solution

    |

  7. Statement 1: vec a=3 vec i+p vec j+3 vec k and vec b=2 vec i+3 vec j...

    Text Solution

    |

  8. The position vectors of the vertices A ,Ba n dC of a triangle are th...

    Text Solution

    |

  9. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

    Text Solution

    |

  10. Column I, Column II Collinear vectors, p. vec a Coinitial vec...

    Text Solution

    |

  11. Statement 1: | vec a|=3,| vec b|= 4 a n d | vec a+ vec b|=5,t h e n| ...

    Text Solution

    |

  12. A man travelling towards east at 8km/h finds that the wind seems to...

    Text Solution

    |

  13. OABCDE is a regular hexagon of side 2 units in the XY-plane in the ...

    Text Solution

    |

  14. If vec a=7 hat i-4 hat j-4 hat k and vec b=-2 hat i- hat j+2 hat k , ...

    Text Solution

    |

  15. Find a unit vector vec c if vec -i+vec j-vec k bisects the angle betw...

    Text Solution

    |

  16. The vectors 2 hat i+3 hat j ,5 hat i+6 hat j and 8 hat i+lambda hat j ...

    Text Solution

    |

  17. If vec a , vec b and vec c are three non-zero vectors, no two of whic...

    Text Solution

    |

  18. Check whether the given three vectors are coplanar or non-coplanar. -2...

    Text Solution

    |

  19. Prove that the four points 6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ...

    Text Solution

    |

  20. Show, by vector methods, that the angularbisectors of a triangle are c...

    Text Solution

    |