Home
Class 12
MATHS
Find the point R in which the line AB cu...

Find the point R in which the line AB cuts the plane CDE, where position vectors of points A, B, C, D, E are respectively .
`vec(a) = hat(i) + 2hat(j) + hat(k), vec(b) = 2hat(i) + hat(j) + 2hat(k) , vec(c) = - 4hat(j) + 4hat(j)` , `vec(d) = 2hat(i) - 2hat(j) + 2hat(k)` and `vec(e) = 4hat(i) + hat(j) + 2hat(k)` .

Text Solution

Verified by Experts

The correct Answer is:
`((19)/(8),(11)/(8),(19)/(8))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If vec(a)=2hat(i)+3hat(j)+hat(k), vec(b)=hat(i)-2hat(j)+hat(k) and vec(c )=-3hat(i)+hat(j)+2hat(k) , find [vec(a)vec(b)vec(c )] .

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) & vec(b) , then x equals

Let vec(a) = hat(i) + hat(j) + hat(k),vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) and vec(b) then x equals

Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) , and vec(c )=hat(i)-6hat(j)-7hat(k) .

Find [vec(a)vec(b)vec(c )] if vec(a)=vec(i)-2hat(j)+3hat(k), vec(b)=2hat(i)-3hat(j)+hat(k) and vec(c )=3hat(i)+hat(j)-2hat(k) .

If vec(a)=(hat(i)-hat(j)+2hat(k)) and vec(b)=(2hat(i)+3hat(j)-4hat(k)) then |vec(a)xx vec(b)|=?

If vec(a)=2hat(i)+hat(j)+3hat(k),vec(b)=-hat(i)+2hat(j)+hat(k) , and vec(c)=-3hat(i)+hat(j)+2hat(k) , find [hat(a)hat(b)hat(c)] .

vec(r )=(-4hat(i)+4hat(j) +hat(k)) + lambda (hat(i) +hat(j) -hat(k)) vec(r)=(-3hat(i) -8hat(j) -3hat(k)) + mu (2hat(i) +3hat(j) +3hat(k))

underset with a = 2hat i + hat j-3hat k, vec b = -hat i + hat j + 2hat k, vec c = 4hat i + 3hat k

Find vec(A).vec(b) when (i) vec(a)=hat(i)-2hat(j)+hat(k) and vec(b)=3 hat(i)-4 hat(j)-2 hat(k) (ii) vec(a)=hat(i)+2hat(j)+3hat(k) and vec(b)=-2hat(j)+4hat(k) (iii) vec(a)=hat(i)-hat(j)+5hat(k) and vec(b)=3 hat(i)-2 hat(k)

MOTION-VECTOR -EXERCISE - 3
  1. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

    Text Solution

    |

  2. Find vector vec(v) which is coplanar with the vectors hat(i) + hat(j...

    Text Solution

    |

  3. Find the point R in which the line AB cuts the plane CDE, where positi...

    Text Solution

    |

  4. The position vectors of the angular points of a tetrahedron are A(3 ha...

    Text Solution

    |

  5. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

    Text Solution

    |

  6. Examine for coplanarity of the following sets of points 3vec(a) + 2...

    Text Solution

    |

  7. The length of the edge of the regular tetrahedron DABC is 'a'. Point E...

    Text Solution

    |

  8. The position vectors of the four angular points of a tetrahedron ar...

    Text Solution

    |

  9. The position vectors of the four angular points of a tetrahedron ar...

    Text Solution

    |

  10. The position vectors of the four angular points of a tetrahedron ar...

    Text Solution

    |

  11. The position vectors of the four angular points of a tetrahedron ar...

    Text Solution

    |

  12. ABCD is a tetrahedron with pv's of its angular point as A(-5, 22, 5); ...

    Text Solution

    |

  13. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

    Text Solution

    |

  14. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

    Text Solution

    |

  15. Are the following set of vectors linearly independent? vec(a) = h...

    Text Solution

    |

  16. Are the following set of vectors linearly independent? vec(a) = - 2...

    Text Solution

    |

  17. the resultant of two vectors vec(a) & vec(b) is perpendicular to ve...

    Text Solution

    |

  18. Given three points on the xy plane on O(0, 0), A(1, 0) and B(–1, 0). P...

    Text Solution

    |

  19. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

    Text Solution

    |

  20. If p vec x +( vec x xx vec a )= vec b ;(p!=0) prove that & vecx...

    Text Solution

    |