Home
Class 12
MATHS
The vertices of a triangle ABC are A (1,...

The vertices of a triangle ABC are A (1,-2, 2), B (1, 4, 0) and C (-4, 1, 1) respectively. If M be the foot of perpendicular drawn from B on AC, then `vec BM` is

A

`-20/3i-10j+10/3k`

B

`-10/7i-30/7j+10/7k`

C

`20/7i+5j-10/7k`

D

`-20/7i-30/7j+10/7k`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|65 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Level-1 Single Correct Answer Type Questions)|33 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The vertices of a triangle ABC are A(0, 0), B(2, -1) and C(9, 2) , find cos B .

The vertices of a triangle ABC are A(0,0),B(2,-1) and C(9,2). Evaluate cos B

The vertices of a triangle ABC are A (2,3,1) , B(-2, 2,0), and C(0,1,-1). What is the cosine of angle ABC ?

The vertices of the triangle ABC are A(1, 2), B (0, 0) and C (2, 3), then the greatest angle of the triangle is

If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) , respectively, then find angleABC .

The vertices of triangle ABC are A (4, 4), B (6, 3), C (2, -1), then angle ABC is equal to

The vertices of a Delta ABC are A (2, 3, 1), B (-2, 2, 0) and C(0, 1, -1) . What is the cosine of angle ABC?

The vertices of a Delta ABC are A (2, 3, 1), B (-2, 2, 0) and C(0, 1, -1) . What is the area of the triangle?

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-2 Single Correct Answer Type Questions)
  1. The distance between (5, 1, 3) and the line x = 3, y = 7 + t, z = 1 + ...

    Text Solution

    |

  2. The distance between the lines x=1-4t, y=2+t, z=3+2t" and "x=1+s, y=...

    Text Solution

    |

  3. The vertices of a triangle ABC are A (1,-2, 2), B (1, 4, 0) and C (-4...

    Text Solution

    |

  4. If a, b, c, are non-coplanar vectors such that (2h+k)a+(3-4h+l)b+(1+h+...

    Text Solution

    |

  5. Show that the angle between two diagonals of a cube is cos^(-1)sqrt(1/...

    Text Solution

    |

  6. The point of intersection of the lines r times a=b times a, r times b=...

    Text Solution

    |

  7. If a=a(1)i+a(2)j+a(3)k, b=b(1)i+b(2)j+b(3)k, c=c(1)i+c(2)j+c(3)k, d=d(...

    Text Solution

    |

  8. The value of (b times c)*(a times d)+(c times a)*(b times d)+(a times ...

    Text Solution

    |

  9. The lines r=b-2c+lambda(a+b)" and "r=2b-c+mu(b+c) intersect at the poi...

    Text Solution

    |

  10. If a=i+2j-3k, b=2i+j-k then the vector v satisfying a times v=a times ...

    Text Solution

    |

  11. The value of abs(a times(i timesj))^(2)+abs(a times(j timesk))^(2)+a...

    Text Solution

    |

  12. The locus of a point equidistant from two points with position vectors...

    Text Solution

    |

  13. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  14. If a times b=c" and "b times c=a, then

    Text Solution

    |

  15. Let OABC be a regular tetrahedron, then angle between edges OA and BC ...

    Text Solution

    |

  16. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

    Text Solution

    |

  17. The vector vec a has the components 2p and 1 w.r.t. a rectangular ...

    Text Solution

    |

  18. a*((b times c) times (a+(b times c)) is equal to

    Text Solution

    |

  19. If overset(to)(X) "." overset(to)(A) =0, overset(to)(X) "." overset(...

    Text Solution

    |

  20. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

    Text Solution

    |