Home
Class 12
MATHS
If the point veca is intersection of th...

If the point `veca ` is intersection of the lines `vecr = 7 hati + 10hatj + 13 hatk` and ` + lambda ( 2 hati + 3hatj + 4hatk) vecr = 3hati + 5hatj +7 hatk +mu ( hati +2hatj + 3hatk ) ` then find the value of `veca . (2 hati - hatj + hatk)` .

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 109

    NTA MOCK TESTS|Exercise MATHEMATICS |26 Videos
  • NTA TPC JEE MAIN TEST 111

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines vecr = 2hati - hatj + hatk + lambda(3hati - 2hatj + 5hatk), vecr = 3hati + 2hatj - 4hatk + mu(4hati - hatj + 3hatk)

Find the points of intersection of the line vecr = 2hati - hatj + 2hatk + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

The line of intersection of the planes vecr . (3 hati - hatj + hatk) =1 and vecr. (hati+ 4 hatj -2 hatk)=2 is:

The shortest distance between the lines vecr = (2hati - hatj) + lambda(2hati + hatj - 3hatk) vecr = (hati - hatj + 2hatk) + lambda(2hati + hatj - 5hatk)

Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (hati - hatj +hatk) and vecr cdot (2hati - hatj +hatk) = 4.

Find the shortest distance between the lines vecr = 3 hati + 2hatj - 4 hatk + lamda ( hati +2 hatj +2 hatk ) and vecr = 5 hati - 2hatj + mu ( 3hati + 2hatj + 6 hatk) If the lines intersect find their point of intersection

Find the angle between the following pairs of lines : (i) vec(r) = 2 hati - 5 hatj + hatk + lambda (3 hati + 2 hatj + 6 hatk ) and vec(r) = 7 hati - 6 hatk + mu (hati + 2 hatj + 2 hatk) (ii) vec(r) = 3 hati + hatj - 2 hatk + lambda (hati - hatj - 2 hatk ) and vec(r) = 2 hati - hatj - 56 hatk + mu (3 hati - 5 hatj - 4 hatk) .

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 110-MATHEMATICS
  1. If f (x) gt 0 AA x in R , f (3) = 0 and g(x) =f ( tan^(2) x-2 tan x ...

    Text Solution

    |

  2. Consider vecr , veca, vecb and vecc are non-zero vectors such that v...

    Text Solution

    |

  3. For a positive integer m, if lim(x rarr oo) (x^(3) "In" ((x+1)/(x)) ...

    Text Solution

    |

  4. Let f(X) = cos x , g(x ) = {("min" .{f(t):0 lt=t lt=x}",", x in [0","...

    Text Solution

    |

  5. The value of the definite integral, int(theta(1))^(theta(2)) (d thet...

    Text Solution

    |

  6. If equation of a circle is given by r^(2) - Br ( sqrt(3) cos theta + s...

    Text Solution

    |

  7. The value of tan (pi)/(18 ) +2 tan (7 pi )/(18) is equal to

    Text Solution

    |

  8. The number of real values of the theta for equation cos^(7) theta +...

    Text Solution

    |

  9. If cos ( cot^(-1) ((1)/(2))) cot ( cos^(-1) x ) then a value of x is

    Text Solution

    |

  10. The average weight of three boys A, B & C is 54 (1)/(3) kg, while the...

    Text Solution

    |

  11. The solution of the differential equation: 2 (x^(2) (dy)/(dx) - xy) =...

    Text Solution

    |

  12. For positive integer n, n^(3) + 2n is always divisible by

    Text Solution

    |

  13. There are four balls of four different colours and four boxes of colou...

    Text Solution

    |

  14. Let P be a non-singular matrix such that I+ P + P^(2) + cdots + P^(n) ...

    Text Solution

    |

  15. A and B stand around a ring with 10 other people. If the probability t...

    Text Solution

    |

  16. If the point veca is intersection of the lines vecr = 7 hati + 10hat...

    Text Solution

    |

  17. A complex number z satisfies arg ((z)/(z-i)) = (pi)/(3) and |z| = |z-...

    Text Solution

    |

  18. Let f (x) = (x)/((1+x^(n))^(1)/(n)) n gt= 2 g(x)= ( underset("n ti...

    Text Solution

    |

  19. Let A(k) be the area bounded by the curves y = x^(2) - 3 and y = kx + ...

    Text Solution

    |

  20. Let a, b, c be the roots of the equation x^(4) +x^(3) +x^(2) +x +1 ...

    Text Solution

    |