Home
Class 12
MATHS
bar(x),bar(y),bar(z) are non zero vector...

`bar(x),bar(y),bar(z)` are non zero vectors. If `(bar(x)""_(,)^(hat)bar(y))=(pi)/(2` and `bar(z)=bar(x)+bar(y)`, then ……..

A

`|bar(x)|^(2)+|bar(y)|^(2)+|bar(z)|^(2)=3`

B

`|bar(x)|^(2)+|bar(y)|^(2)+|bar(z)|^(2)=1`

C

`|bar(x)|^(2)-|bar(y)|^(2)=|bar(z)|^(2)`

D

`|bar(x)|^(2)+|bar(y)|^(2)=|bar(z)|^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar(x).bar(z).(bar(x),bar(y)ne0) .

bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*bar( c )|=|bar(a)||bar(b)||bar( c )| then ……………

If |bar(x)+bar(y)|=|bar(x)-bar(y)| , then

bar(x) and bar(y) are unit vectors and (bar(x)""_(,)^(hat)bar(y))=theta . If theta = ………… then bar(x)+bar(y) will becomes unit vector.

bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar(p)=bar(a)+bar(b)-2bar( c ),bar(q)=3bar(a)-2bar(b)+bar( c ) and bar( r )=bar(a)-4bar(b)+2bar( c ) . The volume of the parallelepiped formed by the vectors bar(a),bar(b) and bar( c ) is V_(1) and the volume of the parallelepiped formed by the vectors bar(p),bar(q) and bar( r ) is V_(2) then V_(2):V_(1) = .............

If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=2,|bar(b)|=3 and |bar( c )|=5 , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) is ………..

If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar(a)xx(bar(b)xx(bar( c )xx bar(d))))=K[bar(a),bar( c ),bar(d)] then K = ….

If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z)ne bar(0) and bar(x)ne bar(0) then …………..

If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(hat)bar(y))=theta then |bar(x)-bar(y)cos theta| = ………..

bar(x)=(2,3) and bar(y)=(5,-2) are ………….. Vectors.

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then

    Text Solution

    |

  2. bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...

    Text Solution

    |

  3. bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...

    Text Solution

    |

  4. If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...

    Text Solution

    |

  5. If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...

    Text Solution

    |

  6. If bar(x)=(1,1,-1),bar(y)=(-1,2,2) and bar(z)=(-1,2,-1) then the unit ...

    Text Solution

    |

  7. If (3hati+4hatj+9hatk) and (a hati-3hatj+1hatk) are perpendicualr to e...

    Text Solution

    |

  8. If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then...

    Text Solution

    |

  9. If |bar(x)|=|bar(y)|=2 and (bar(x)" "^(hat)bar(y))=theta then |bar(x)-...

    Text Solution

    |

  10. The projection of the vector (-4,-2,4) on (2,1,1) is ………….

    Text Solution

    |

  11. The magnitude of the projection of vector (4, 1, 3) and (1, -2, 3) is ...

    Text Solution

    |

  12. The unit vector perpendicular to (3,-4) in R^(2) is ………………

    Text Solution

    |

  13. The unit vector perpendicualr to (3, 4)is ……………….

    Text Solution

    |

  14. If |bar(x)|=|bar(y)|=1 and bar(x)|bar(y), then |bar(x)-bar(y)| =……………

    Text Solution

    |

  15. bar(a)=(-3,1,0),bar(b)=(1,-1,-1) then |"Comp"(bar(b))bar(a)| = …………

    Text Solution

    |

  16. If bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=3,|bar(b)|=5,|bar( c )|=...

    Text Solution

    |

  17. A(1, -2, 4), B(5, -1, 7), C(3, 6, -2) and D(4, 5, -1) are given vector...

    Text Solution

    |

  18. In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+b...

    Text Solution

    |

  19. squareABCDEF is a regular hexagone with each side a. bar(AB).bar(AF)+(...

    Text Solution

    |

  20. For vectors bar(a),bar(b),bar( c ),|bar(a)-bar( c )|=|bar(b)-bar( c )|...

    Text Solution

    |