Home
Class 12
MATHS
If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+...

If `a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3)`
Q. The image of the point P in the line ` r=a+lambdab` is

A

`(11, 12, 11)`

B

`(5, 2, -7)`

C

`(5, 8, 15)`

D

`(17, 16, 7)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) Q. The position vector of L, the foot of the perpendicular from P on the line r=a+lambdab is

If [[hat(i)+4hat(j)+6hat(k), 2hat(i)+ahat(j)+3hat(k), hat(i)+2hat(j)-3hat(k)]]=0 then a=

Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)+hat(j)+2hat(k), b=-hat(i)+7hat(j)+8hat(k), l=-4hat(i)+hat(j)-hat(k), and m=2hat(i)-5hat(j)-7hat(k) , then the position vector of a point which lies on both of these lines, is

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Force 2hat(i) +7hat(j) , 2hat(i) +5hat(j)+7hat(k) and hat(i) -2hat(j) +hat(k) act at (4,-1,2) . Find the net torque of these forces about (6,1,-3)

The two vectors A=2hat(i)+hat(j)+3hat(k) and B=7hat(i)-5hat(j)-3hat(k) are :-

Find ( vec (a) xxvec (b)) and |vec(a) xx vec (b)| ,when (i) vec(a) = hat(i)-hat(j)+ 2hat(k) and vec(b)= 2 hat(i)+3 hat(j)-4hat(k) (ii) vec(a)= 2hat (i)+hat(j)+ 3hat(k) and vec(b)= 3hat(i)+5 hat(j) - 2 hat(k) (iii) vec(a)=hat(i)- 7 hat(j)+ 7hat(k) and vec(b) = 3 hat(i)-2hat(j)+2 hat(k) (iv) vec(a)= 4hat(i)+ hat(j)- 2hat(k) and vec(b) = 3 hat(i)+hat(k) (v) vec(a) = 3 hat(i) + 4 hat(j) and vec(b) = hat(i)+hat(j)+hat(k)

If bar(a)=3hat(i)-2hat(j)+7hat(k),bar(b)=5hat(i)+hat(j)-2hat(k)andbar(c)=hat(i)+hat(j)-hat(k) , then find bar(a)*(bar(b)xxbar(c)) .

If overline(a)=3hat(i)-2hat(j)+7hat(k), overline(b)=5hat(i)+hat(j)-2hat(k), overline(c)=hat(i)+hat(j)-hat(k) , then overline(a)*(overline(b)timesoverline(c))=

If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat(k) are vertices of a triangle, then it is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  2. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  3. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  4. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  5. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. A point ...

    Text Solution

    |

  6. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |

  7. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

    Text Solution

    |

  8. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  9. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  10. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  11. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  12. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  13. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  14. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  15. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  16. The line of greatest slope on an inclined plane P1 is that line in the...

    Text Solution

    |

  17. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  18. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  19. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |

  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |