Home
Class 11
PHYSICS
If vec A=hat I + 2 hat j -3 hat k, vec...

If `vec A=hat I + 2 hat j -3 hat k`,
vec B =2 hat I -hat j + hat k` and ` vec Chat I -3 hat j + 2 hat k`, then find ` vec A xx ( vec B xx vec C).

Text Solution

Verified by Experts

`vec B xx vec C = |(hat I hat j hat k),(2, -1, 1), (1, -3, 2)|`
`=hat I (-2 +3) + hat j (1 -4 ) + hat k (-6 +1)`
`=hat I -3 hat j -5 hat k`
` vec A xx ( vec B xx vec C) =|(hat I, hat j, hatk), (1, 2, -3) ,(1, -3, -5)|`
`= hat I (-10 -90 + hatj (- 3 +5 ) + hat k (- 3 -2 0`
=- 19 hat i + 2 hat j- 5 hat k`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 4 SolvedExamples|31 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 Conceptual Problems|2 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 SolvedExamples|31 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

If vec a=hat i+2hat j-2hat k,vec b=2hat i-hat j+hat k and vec c=hat i+3hat j-hat k then find vec a xx(vec b xxvec c)

If vec a=hat i-2hat j+hat k,vec b=2hat i+hat j-hat k and vec C=3hat i+5hat j+2hat k then find the value of vec a xx(vec b xxvec c)

vec A=2hat i+3hat j+6hat k,vec B=hat i+hat j-2hat k and vec C=hat i+hat j+hat k Compute the value of |vec A xx[vec A xx(vec A xxvec B)]*vec C|

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If vec A = 2 hat i + 3 hat j + hat k and vec B = 3 hat i + 2 hat j + 4 hat k , then find the value of (vec A+vec B)xx(vec A-vec B) .

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4

Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) + hat(k), vec(c) = 3hat(i) + 2hat(j) + hat(k) and vec(d) = 3hat(i) - hat(j) - 2hat(k) , then . If vec(a) xx (vec(b) xx vec(c)) = pvec(a) + qvec(b) + rvec(c) , then find value of p,q are r.

PRADEEP-KINEMATICS-3 SolvedExamples
  1. Give vrc A =2 jati -hatj+3 hat k and vec B =3 hat I -2 hat j -2 hat k...

    Text Solution

    |

  2. A vector vec C when added to the resultant of the vectors vec A = 3 ha...

    Text Solution

    |

  3. If vec A =3 hat I + 4 hat j and vec B =7hat I + 14 hat j, find a vect...

    Text Solution

    |

  4. If the magniude of two vectors are 6 N and 3 N and magnitude of their ...

    Text Solution

    |

  5. For what value of (m), the vector vec A =2 hat I + 3 hat j -6 hat j is...

    Text Solution

    |

  6. If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j +...

    Text Solution

    |

  7. Find the component of a vector vec A = 3 hat I + 4 hat j along the di...

    Text Solution

    |

  8. If vectors vec A , vec B and vec Chave magnitudes 5, 12 and 13 units ...

    Text Solution

    |

  9. If vec A + vec B =3 hat I + 6 hat j + 2 hat k and vec A - vec B = 6 h...

    Text Solution

    |

  10. Unit vector hat(P) and hat(Q) are inclined at an angle theta. Prove th...

    Text Solution

    |

  11. Find the angle between force vec F =(3 hat I + 4 hat j -5 hat k) and ...

    Text Solution

    |

  12. Find the scalr and vector products of two vectors vec a =(3 hat I - 4...

    Text Solution

    |

  13. Show that vectors vec A =2 hat I -3 hat j - hat k and vec vec B =- ...

    Text Solution

    |

  14. Calculate the area of a paralleleogram whose two adjacent sides are fo...

    Text Solution

    |

  15. The diagonals if a parallele-gram are representde by vec d(1) =2 hat ...

    Text Solution

    |

  16. Determine the sine of the angle between the vectors . 2 hat I + 3 hat...

    Text Solution

    |

  17. Determine a unit vector whoch is perpendicular to both vec A =2 hat...

    Text Solution

    |

  18. The edges of a parallelopiped are geven by the vectors (2 hat I + 3 h...

    Text Solution

    |

  19. A paarticle starts from origin at t=0 with a vction 5.0 hat I m//s a...

    Text Solution

    |

  20. If vec A=hat I + 2 hat j -3 hat k, vec B =2 hat I -hat j + hat k and...

    Text Solution

    |