Home
Class 12
MATHS
If |overline(a)|=50 and overline(b)=6hat...

If `|overline(a)|=50 and overline(b)=6hat(i)-8hat(j)-(15)/(2)hat(k)` are collinear vectors such that the angle made by `overline(a)` with positive Z-axis is acute , then `overline(a)=`

A

`-12hat(i)+16hat(j)+15hat(k)`

B

`12hat(i)-16hat(j)-15hat(k)`

C

`-24hat(i)+32hat(j)+30hat(k)`

D

`24hat(i)-32hat(j)-30hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If overline(a)*hat(i)=4, then (overline(a)timeshat(j))*(2hat(j)-3hat(k))=

If overline(a) and overline(b) are non-collinear vectors and x, y are some scalars such that xoverline(a)+yoverline(b)=overline(0) , then

If overline(a)=hat(i)-hat(j), overline(b)=hat(j)-hat(k), overline(c)=hat(k)-hat(i) and hat(d) is a units vectors such that overline(a)*hat(d)=[[overline(b), overline(c), overline(d)]]=0 , then hat(d)=

If vectors overline(a)=2hat(i)+3hat(j)+4hat(k), overline(b)=hat(i)+hat(j)+5hat(k) and overline(c) form a left handed system, then overline(c) is

If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)| is perpendicular to |overline(b)| and |overline(c)| such that the angle between |overline(b)| and |overline(c)| is (5pi)/(6) , then [[overline(a),overline(b), overline(c)]]=

If overline(b)=2hat(i)+hat(j)-hat(k), overline(c)=hat(i)+3hat(k) and overline(a) is a unit vectors, then the maximum value of [[overline(a), overline(b), overline(c)]] is

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

If overline(a)=hat(i)+2hat(j), overline(b)=-2hat(i)+hat(j), overline(c)=4hat(i)+3hat(j) and overline(c)=xoverline(a)+yoverline(b) , then

Given two vectors vec(A) = -hat(i) + 2hat(j) - 3hat(k) and vec(B) = 4hat(i) - 2hat(j) + 6hat(k) . The angle made by (A+B) with x-axis is :

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. The value of |[overline(a)*overline(a), overline(a)*overline(b), overl...

    Text Solution

    |

  2. If overline(a), overline(b), overline(c) be three vecotrs such that ov...

    Text Solution

    |

  3. If |overline(a)|=50 and overline(b)=6hat(i)-8hat(j)-(15)/(2)hat(k) are...

    Text Solution

    |

  4. If overline(a) and overline(b) are the position vectors of the points ...

    Text Solution

    |

  5. If the vectors 3hat(i)-5hat(j)+hat(k)and9hat(i)-15hat(j)+phat(k) are c...

    Text Solution

    |

  6. If the vectors 2hat(i)-qhat(j)+3hat(k)and4hat(i)-5hat(j)+6hat(k) are c...

    Text Solution

    |

  7. The value of k for which the vectors overline(a)=hat(i)-hat(j) and ove...

    Text Solution

    |

  8. Let overline(a) and overline(b) be non-collinear. If overline(c)=(x-2)...

    Text Solution

    |

  9. If the points A(3, 2, -4), B(9, 8, -10) and C(-2, -3. p) are collinear...

    Text Solution

    |

  10. If the points A(4, 5, 2), B(3, 2, p) and C(5, 8, 0) are collinear , th...

    Text Solution

    |

  11. If the points A(2,1,1,),B(0,-1,4)andC(k,3,-2) are collinear, then k= ....

    Text Solution

    |

  12. If the points A(5, -6, -2), B(p, 2, 4) and C(3, -2, 1) are collinear, ...

    Text Solution

    |

  13. If the points A(1, -2, 3), B(2, 3, -4) and C(0, -p, 10) are collinear,...

    Text Solution

    |

  14. If the points A(1, -2, 2), B(3, 1, 1) and C(-1, p, 3) are collinear, t...

    Text Solution

    |

  15. If P(5,6,-1),Q (2,-7,beta ) and R (-1,-20,7) are collinear , then bet...

    Text Solution

    |

  16. If the points A(3,0,p),B(-1,q,3) and C(-3,3,0) are collinear, then fin...

    Text Solution

    |

  17. If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat ...

    Text Solution

    |

  18. The points with position vectors overline(a)+overline(b), overline(a)-...

    Text Solution

    |

  19. If the position vectors of the points A,B and C be a,b and 3a-2b respe...

    Text Solution

    |

  20. If position vectors of four points A, B, C, D are hat(i)+hat(j)+hat(k)...

    Text Solution

    |