Home
Class 12
MATHS
Given four non zero vectors bar a,bar b...

Given four non zero vectors `bar a,bar b,bar c and bar d`. The vectors `bar a,bar b and bar c` are coplanar but not collinear pair by pairand vector `bar d` is not coplanar with vectors `bar a,bar b and bar c and hat (bar a bar b) = hat (bar b bar c) = pi/3,(bar d bar b)=beta` ,If `(bar d bar c)=cos^-1(mcos beta+ncos alpha)` then `m-n` is :

A

`cos^(-1)(cosbeta-cosalpha)`

B

`sin^(-1)(cosbeta-cosalpha)`

C

`sin^(-1)(sinbeta-sinalpha)`

D

`cos^(-1)(tanbeta-tanalpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|35 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a non-zero vector, which is perpendicularto bar a+bar b+bar c . Now, if bar d= (sin x)(bar a xx bar b) + (cos y)(bar b xx bar c) + 2(bar c xx bar a) then minimum value of x^2+y^2 is equal to

Simplify : a - [a - bar(b + a) - {a - (a - bar(b-a))}]

Let vec a be vector parallel to line of intersection of planes P_1 and P_2 through origin. If P_1 is parallel to the vectors 2 bar j + 3 bar k and 4 bar j - 3 bar k and P_2 is parallel to bar j - bar k and 3 bar I + 3 bar j , then the angle between vec a and 2 bar i +bar j - 2 bar k is :

The resultant of the three vectors bar(OA),bar(OB) and bar(OC) shown in figure :-

If bar X_1 and bar X_2 are the means of two series such that bar X_1 lt bar X_2 and bar X is the mean of the combined series, then

IF bar(a),bar(b),bar(c ) are vectors from the origin to three points A,B,C show that bara times barb +barb times barc+barc times bara is perpendicular to the plane ABC.

In the figure shown below, E and G lie on bar(AC) , D and F lie on bar(AB), bar(DE) and bar(FG) are parallel to bar(BC) , and the given lengths are in feet. What is the length of bar(AC) , in feet?

If a moving particle have linear momentum bar P and position vector bar r then choose the correct relation between bar r,bar p and angular momentum bar L of particle about the origin.

Show that points with p.v bar(a)-2bar(b)+3bar(c ),-2bar(a)+3bar(b)-bar(c ),4bar(a)-7bar(b)+7bar(c ) are collinear. It is given that vectors bara,barb,bar c are non-coplanar.

The three vectors bar(OA), bar(OB) and bar(OC) have the same magnitude R. Then the sum of these vectors have magnitude.

ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  2. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  3. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  4. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  5. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  6. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  7. Find the perpendicular distance of a corner of a cube of unit side len...

    Text Solution

    |

  8. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  9. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  10. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  11. Let a,b,c be three non-coplanar vectors and d be a non-zerro vector, w...

    Text Solution

    |

  12. If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0, then

    Text Solution

    |

  13. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  14. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  15. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  16. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  17. If the two adjacent sides of two rectangles are represented by vecto...

    Text Solution

    |

  18. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  19. If the angle between the vectors vec(a)=hat(i)+(cos x)hat(j)+hat(k) a...

    Text Solution

    |

  20. If position vectors of the points A, B and C are a, b and c respectiv...

    Text Solution

    |