Home
Class 12
MATHS
The non-zero vectors bar(a) , bar(b) , ...

The non-zero vectors `bar(a) , bar(b) , bar(c )` holds `| (bar(a) .bar(b) ).bar( c) |=| bar(a) ||bar(b)|| bar( c)` if

A

`bar(a).bar(b) =, bar(b).bar(c )=0`

B

`bar(b).bar(c ) =0, bar(c ).bar(a) = 0`

C

`bar(c ).bar(a) =0, bar(a).bar(b)=0`

D

`bar(a).bar(b)= bar(b).bar( c) = bar(c ).bar(a)=0`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 10

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MODEL TEST PAPER 4

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors bar(a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and bar(b) = -4 hat(i) + 6 hat(j) - 8k are collinear.

In the adjacent figure DeltaABC is isosceles as bar(AB) = bar(AC), bar(BA) and bar(CA) are produced to Q and P such that bar(AQ) = bar(AP) . . Show that bar(PB) = bar(QC) .

Write the value of a r g(z)+a r g( bar(z) ) .

In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(AF)=k bar(AD) then k is equal to

If |z+bar(z)|+|z-bar(z)|=8 then z lies on

Find the slope of bar(AB) , where A(2, 1), B(2, 6)

In the given figure bar(PQ) is a line. Ray bar(OR) is perpendicular to line bar(PQ) . bar(OS) is another ray lying between rays bar(OP) and bar(OR) . Prove that angleROS = (1)/(2) angleQOS − anglePOS

If P(A)=0.05 the P(bar(A)) is

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 3-(MATHEMATICS)
  1. The projection of the vector overset(^)(i) - 2 overset(^)(j) + overse...

    Text Solution

    |

  2. If theta is the angle between the vectors overset(^)(i) + overset(^)(j...

    Text Solution

    |

  3. The non-zero vectors bar(a) , bar(b) , bar(c ) holds | (bar(a) .bar(b...

    Text Solution

    |

  4. If bar(a) = overset(^)(i) + overset(^)(j) - overset(^)(k), bar(b) = 2 ...

    Text Solution

    |

  5. The value of (sec x + tan x -1)/(tan x - sec x +1), if cosec 2x =2 is

    Text Solution

    |

  6. The value of cosec 20^(@).cosec40^(@).cosec60^(@).cosec80^(@) is

    Text Solution

    |

  7. If cot A bot B -=2, cosA cos B =2//3, then cos (A + B)=

    Text Solution

    |

  8. The value of tan (2 tan^(-1). (1)/(5) - (pi)/(4) ) is equal to

    Text Solution

    |

  9. In a triangle ABC , sum r cos A //2 =

    Text Solution

    |

  10. In a triangle A BC, (1)/(bc) + (1)/(ca) + (1)/(ab) = (k)/(2), then k=

    Text Solution

    |

  11. Square root of -3 -4i is

    Text Solution

    |

  12. Find the value of log (- theta) and hence the value of log (- 10 theta...

    Text Solution

    |

  13. The area of a triangle fanned by the complex numbers 2+I,-2-I, 1+i in ...

    Text Solution

    |

  14. If 3x +2y- 1 =0 is a tangent to a hyperbola (x^2)/(16) - (y^2)/(9)=1, ...

    Text Solution

    |

  15. The centre, radius of the circle r^(2) - 8 r cos (theta - (pi)/(3) ) +...

    Text Solution

    |

  16. The line x-y + k =0 is normal to the ellipse (x^2)/(9) + (y^2)/(16)=1,...

    Text Solution

    |

  17. The equation of the circle whose radius is 3 and touches internally wi...

    Text Solution

    |

  18. The radical centre of the circle x^2 + y^2 + 4x + 7 =0, 2 x^2 + 2y^2 +...

    Text Solution

    |

  19. The angles between the circle x^2 + y^2 -2x - 6y - 39=0 and x^2 + y^2 ...

    Text Solution

    |

  20. The equation to pair of lines perpendicular to x^2 + 3xy + 2y^2 =0 and...

    Text Solution

    |