Home
Class 12
MATHS
The angle theta between two non-zero vec...

The angle `theta` between two non-zero vectors `bar(a) and bar(b)` is given by `cos theta` =….

A

`(bar(a).bar(b))/(|bar(a)||bar(b)|)`

B

`bar(a). bar(b)`

C

`|bar(a)||bar(b)|`

D

`(|bar(a)||bar(b)|)/(bar(a).bar(b))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise LINE AND PLANE |40 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise LINEAR PROGRAMMING PROBLEMS|30 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Let bar(a) , bar(b) and bar(c) be non-zero vectors such that (bar(a)timesbar(b))timesbar(c)=(1)/(3)|bar(b)||bar(c)|bar(a) ..If theta is the acute angle between the vectors bar(b) and bar(c) then sin theta=2k then k=

If angle between unit vectors bar(P) and bar(Q) is 60^(0) then |bar(P)+bar(Q)| is

Let bar(a),bar(b) and bar(c) be non-zero and non collinear vectors such that (bar(a)times bar(b))times bar(c)=(1)/(3)|bar(b)||bar(c)|bar(a) .If theta is the acute angle between the vectors bar(b) and bar(c) then sin theta

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) ,then the unit vector in the direction of bar(c) is

Statement-1 : The angle between the two vectors (hatI + hatJ) and (hatk) is pi/2 radian. Statement - 2 : Angle between two vectors vecA and vecB is given by theta = cos^(-1)((A.B)/(AB))

If theta is the angle between the unit vectors hat a and hat b then cos (theta/2) is equal to

If bar(a) and bar(b) are two non-zero vectors and theta is angle between then,the cos theta is

If bar(a) and bar(b) are two non-zero vectors and theta is angle between then,the cos theta is

Suppose a and b are two non-zero vectors and angle between a and b is theta, " where "0 lt theta lt pi//2 . If abs(a times b)=abs(a*b)," then "pi//theta= _______

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-VECTOR AND THREE DIMENSIONAL GEOMETRY
  1. If |bar(a)| = 3,|bar(b)| = 4, then the value of lambda for which bar(a...

    Text Solution

    |

  2. (hat(i) + hat(j) - hat(k)).(hat(i) - hat(j) + hat(k))=

    Text Solution

    |

  3. The angle theta between two non-zero vectors bar(a) and bar(b) is give...

    Text Solution

    |

  4. If the sum of two unit vectors is a unit vector,then find the magnitud...

    Text Solution

    |

  5. If alpha, beta, gamma are direction angles of a line and alpha = 60^(@...

    Text Solution

    |

  6. The distance of the point (3, 4, 5) from Y-axis is

    Text Solution

    |

  7. If cos alpha, cos beta, cos gamma are the direction cosines of a line ...

    Text Solution

    |

  8. If |bar(a)| = 2, |bar(b)| = 5, and bar(a).bar(b) = 8 then |bar(a) - ba...

    Text Solution

    |

  9. If bar(AB) = 2hat(i) + hat(j) - 3 hat(k), and A(1, 2, -1) is given poi...

    Text Solution

    |

  10. If l, m, n are direction cosines of a line then l hat(i) + m hat(j) + ...

    Text Solution

    |

  11. The values of c that satisfy |c bar(u)| = 3, bar(u) = hat(i) + 2 hat(j...

    Text Solution

    |

  12. The value of c if |c bar(u)| = sqrt(14), bar(u) = hat(i) + 2 hat(j) + ...

    Text Solution

    |

  13. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

    Text Solution

    |

  14. Find the magnitude of a vector with initial point : (1, -3, 4), termin...

    Text Solution

    |

  15. Find the coordinates of the point which is located, three units behind...

    Text Solution

    |

  16. A(2, 3), B(-1, 5), C(-1, 1) and D(-7, 5) are four points in the Cartes...

    Text Solution

    |

  17. Find a unit vector in the opposite direction of bar(u). Where bar(u) =...

    Text Solution

    |

  18. The non zero vectors bar(a) and bar(b) are not collinear find the valu...

    Text Solution

    |

  19. If bar(a) = 4 hat(i) + 3 hat(k) and bar(b) = - 2 hat(i) + hat(j) + 5 ...

    Text Solution

    |

  20. Find the distance from (4, -2, 6) to the XZ-Plane.

    Text Solution

    |