Home
Class 12
MATHS
If veca = hati + hatj + hatk , vecb = ha...

If `veca = hati + hatj + hatk , vecb = hatj - hatk` then find a vector `vecc`, such that `veca xx vecc = vecb` and `veca .vecc = 3`.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

Let veca = 2hati + hatj - 2hatk, and vecb = hati+ hatj if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vecc is 30^(@) , then |(veca xx vecb)|xx vecc| is equal to

vecA= hati & vecB= hatj+hatk , then find out vecA.vecB ?

Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be three given vectors. If vecr is a vector such that vecr xx vecb = vecc xx vecb and vecr.veca =0 then find the value of vecr .vecb .

If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in the reciprocal system of vectors veca, vecb, vecc reciprocal veca of vector veca is

A vector (vecd) is equally inclined to three vectors veca= hati - hatj + hatk, vecb = 2 hati + hatj and vecc = 3hatj - 2hatk let vecx ,vecy, vecz be three in the plane of veca, vecb ; vecb, vecc; vecc, veca respectively, then

If veca=4hati+6hatj and vecb=3hati+4hatk find the projection vector veca to vecb .

If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -hatk , " then " vecb is

If veca=2hati+hatj-hatk and vecb=hati-hatk , then vector projection of veca on vecb will be :

If veca=hati-2hatj+3hatk and vecb=-2hati+hatj-2hatk , then the value of |veca xx vecb| is -

UNITED BOOK HOUSE-SET 19-EXERCISE
  1. If x>1/2, show that the function f(x) = x(4x^2 - 3) is steadily increa...

    Text Solution

    |

  2. If |veca| = sqrt3,|vecb| = 2 and veca.vecb = sqrt6, then find the angl...

    Text Solution

    |

  3. If the line (x-2)/(6) = (y-1)/(lambda) = (z+5)/(-4) is perpendicular t...

    Text Solution

    |

  4. The probability that A hits a target is 1/3 and the probability that B...

    Text Solution

    |

  5. An unbiased coin is toosed 7 times. Find the probability of getting an...

    Text Solution

    |

  6. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

    Text Solution

    |

  7. Solve : |(x+4, 2x,2x),(2x , x+4, 2x),(2x, 2x, x+4)| = 0

    Text Solution

    |

  8. By using properties of determinants. Show that: |1+a^2-b^2; 2ab; -2b: ...

    Text Solution

    |

  9. If y^(1/3) + y^(-1/3) = 2x, prove that (x^2 - 1)y2 + xy1 = 9y.

    Text Solution

    |

  10. Evaluate : int(loge(x+1))/((x+1)^2) dx

    Text Solution

    |

  11. Evaluate :int(5^(5^(5^x)cdot 5^(5^(x))cdot 5^x))dx

    Text Solution

    |

  12. Solve the differential equation: (1+y^2)+(x - e^(tan^-1 y) )dy/dx = 0

    Text Solution

    |

  13. Find the unit vector which is perpendicular to both veca = 2hati + 3ha...

    Text Solution

    |

  14. If veca = hati + hatj + hatk , vecb = hatj - hatk then find a vector v...

    Text Solution

    |

  15. Evaluate: underset(nrarralpha)Lt[1/(sqrt(2n-1^2)) +1/(sqrt(4n-2^2))+1/...

    Text Solution

    |

  16. Evaluate : int(0)^(pi/4) (sin^2xcos^2xdx)/((sin^3x+cos^3x)^2)

    Text Solution

    |

  17. A discreate random variable x has the following probability distributi...

    Text Solution

    |

  18. answer any two questions :(iii) if the straight line lx+my=n be a norm...

    Text Solution

    |

  19. Find the area enclosed by the curves x^2=y , y=x+2 and x-axis

    Text Solution

    |

  20. A 5 ft long man walks away from the foot of a 12 1/2 ft high lamp post...

    Text Solution

    |