Home
Class 12
MATHS
If the volume of a parallelopiped ,whose...

If the volume of a parallelopiped ,whose coterminus edges are given by the vectors ` veca = hati + hatj + nhatk , vecb = 2 hati + 4 hatj - n hatk` and `vec c = hati + n hatj + 3 hatk ( n ge 0)` , is 158 cu. Units , then :

A

`veca* vecc = 17`

B

`vecb * vec c = 10`

C

`n = 7`

D

`n = 9`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

Find the volume of the parallelopiped, if the coterminus edges are given by the vectors 2hati + 5hatj - 4hatk . 5hati + 7hatj + 5hatk , 4hati + 5hatj - 2hatk

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to

If veca = 5 hati- 4 hatj + hatk, vecb =- 4 hati + 3 hatj - 2 hatkand vec c = hati - 2 hatj - 2 hatk, then evaluate vec c. (veca xx vecb)

Find the volume of the parallelopiped whose conterminus edges are given by vectros 2hati+3hatj-4hatk,hatk+7hatj+5hatk and 4hati+5hatj-2hatk .

Find vecA xx vecB if vecA = hati - 2hatj + 4hatk and vecB = 2hati - hatj + 2hatk

Find vecB xx vecA if vecA = 3hati - 2hatj + 6hatk and vecB = hati - hatj + hatk .

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

If volume of parallelopiped whose coterminus edges are bara=hati+hatj+nhatk,vecb=bar2hati+4hatj-nhatk,barc=hati+nhatj+3hatk is 158 cu units.

If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = hati + alpha hatj are coplanar vector , then the value of alpha is :

If veca = hati - hatj + hatk, vecb= 2 hati + hatj -hatk and vec c = lamda hati -hatj+ lamda hatk are coplanar, find the value of lamda.

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If 2^(10) + 2^(9) * 3^(1) + 2 ^(8) * 3^(2) + …. + 2 * 3^(9) + 3^(10...

    Text Solution

    |

  2. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

    Text Solution

    |

  3. If the volume of a parallelopiped ,whose coterminus edges are given by...

    Text Solution

    |

  4. If S=tan^(-1)(1/3)+tan^(-1)(1/7)+tan^(-1)(1/13)+.... to 10 terms. Find...

    Text Solution

    |

  5. If four complex number z,bar(z),bar(z)-2Re(bar(z)) and z-2Re(z) repres...

    Text Solution

    |

  6. A survey shows that 73 % of the persons working in an office like coff...

    Text Solution

    |

  7. If the co-ordinates of two point A and B are (sqrt(7),0) and (-sqrt(7)...

    Text Solution

    |

  8. If the point P on the curve 4x^2+5y^2-20=0 is farthest from the point ...

    Text Solution

    |

  9. Let lambda in R . The system of linear equations 2x(1) - 4x(2) + lam...

    Text Solution

    |

  10. If min and max value of the function f:[pi/4,pi/2] to R, f(theta)=|[-s...

    Text Solution

    |

  11. If (a,b,c) is the image of the point (1,2,-3) in the line (x+1)/2=(y-3...

    Text Solution

    |

  12. If function f(x)={(k1(x-pi)^2-1,xlepi),(k2cosx,xgtpi):} is twice diffe...

    Text Solution

    |

  13. If common tangent to parabola y^2=4x and x^2=4y also touches the circl...

    Text Solution

    |

  14. If alpha is a positive root of p(x)= x^2-x-2 Find lim(x rarr alpha^+) ...

    Text Solution

    |

  15. int(e^(2x)+2e^x-e^(-x)-1)e^(e^x+e^(-x))dx=g(x)e^(e^x+e^(-x)) , then fi...

    Text Solution

    |

  16. The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin...

    Text Solution

    |

  17. Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the ...

    Text Solution

    |

  18. If the distance of line 2x-y+3=0 from 4x-2y+p=0 and 6x-3y+r=0 is respe...

    Text Solution

    |

  19. The number of four letters word while each consisting 2 distinct and t...

    Text Solution

    |

  20. The natural number m , for which the coefficient of x in the binomial ...

    Text Solution

    |