Home
Class 12
MATHS
If veca=5i-j-3k and vecb=i+3j+5k,then sh...

If `veca=5i-j-3k` and `vecb=i+3j+5k`,then show that the vectors `veca+vecb`,`veca-vecb` are perpendicular.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

If veca=3i-j-5k and vecb=i-5j+3k Show that veca+vecb and veca-vecb are perpendicular.

If veca=i-j+k and vecb=2i-2j-k . What is the projection of veca on vecb ?

If veca=i-2j+3k , vecb=2i+3j-4k and vecc=i-3j+5k ,then check whether veca , vecb , vecc are coplanar.

Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

Let veca=2i-j+2k and vecb=6i+2j+3k Find the angle between veca and vecb .

Let veca=2hati+hatj-3hatk and vecb=4hati+hatj+hatk be two vectors. Find a vector vecc perpendicular to veca and vecb .

If veca=2hati+2hatj+3hatk and vecb=2hati-hatj+hatk , then the value of (veca+vecb).(veca-vecb) is equal to

Let veca=2i-j+2k and vecb=6i+2j+3k .Find a unit vector in the direction of veca+vecb .

Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j . Show that veca+vecb and veca-vecb are orthogonal.

Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk . Find the projections of veca on vecb and vecb on veca .

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

    Text Solution

    |

  2. If the vectors vec(PQ)=-3i+4j+4k and vec(PR)=-5i+2j+4k are the sides o...

    Text Solution

    |

  3. If veca=5i-j-3k and vecb=i+3j+5k,then show that the vectors veca+vecb,...

    Text Solution

    |

  4. If veca=i-2j+3k,vecb=2i+3j-4k and vecc=i-3j+5k,then check whether ve...

    Text Solution

    |

  5. Find the Cartesian equation of the line passing through origin and (5,...

    Text Solution

    |

  6. The point P(x,y,z) lies in the first octant and its distance from the ...

    Text Solution

    |

  7. Solve graphically. Maximise Z=5x+3y Subject to the constraints 3...

    Text Solution

    |

  8. A=[[3,3,-1],[-2,-2,1],[-4,-5,2]] Find A^T

    Text Solution

    |

  9. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  10. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

    Text Solution

    |

  11. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

    Text Solution

    |

  12. Consider the following system of equations 2x-3y+5z=11, 3x+2y-4z=-5,x...

    Text Solution

    |

  13. Consider the following system of equations 2x-3y+5z=11,3x+2y-4z=-5...

    Text Solution

    |

  14. Find dy/dx of the following x^2+xy+y=100

    Text Solution

    |

  15. Find dy/dx of the following y^x=2^x

    Text Solution

    |

  16. Find dy/dx of the following x=costheta,y=sintheta at theta=pi/4

    Text Solution

    |

  17. Evaluate the integrals intx/((x+1)(x+2))dx

    Text Solution

    |

  18. Evaluate the following int0^1 xe^(x^2)dx

    Text Solution

    |

  19. Evaluate the following int-5^5 abs[x+2]dx

    Text Solution

    |

  20. Consider the parabolas y^2=4x,x^2=4y Draw a rough figure for the abov...

    Text Solution

    |