Home
Class 11
PHYSICS
If vecA=2veci-3vecj+7veck, vecB=veci+2ve...

If `vecA=2veci-3vecj+7veck, vecB=veci+2veck and vecC=vecj-veck` find `vecA.(vecBxxvecC)`.

Text Solution

Verified by Experts

`vecBxxvecC=(veci+2veck)xx(vecj-veck)`
`=vecixx(vecj-veck)+2vecxx(vecj-veck)`
`=vecixxvecjxxveck+2veckxxvwvecj-2veckxxveck`
`=veck+vecj-2veci-0=-2veci+vecj+veck`.
vecA.(vecBxxvecC)=(2veci-3vecj+7veck). (-2veci+vecj+veck)`
`=(2)(-2)+(-3)(1)=(7)(1)`
-0.
Promotional Banner

Topper's Solved these Questions

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Short Answer|14 Videos

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Objective 1|6 Videos

  • PHYSICS AND MATHEMATICS

    HC VERMA|Exercise Exercises|34 Videos

  • NEWTON'S LAWS OF MOTION

    HC VERMA|Exercise Exercises|42 Videos

  • REST AND MOTION : KINEMATICS

    HC VERMA|Exercise Exercises|51 Videos

Similar Questions

Explore conceptually related problems

If vecA=2veci+vecj-3veck vecB=veci-2vecj+veck and vecC=-veci+vecj-vec4k find vecAxx(vecBxxvecC)

If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB .

If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vecb equals

If veca=2veci-3vecj+2veck and vecb=veci+2vecj+veck , find (i) veca.vecb , (ii) vecaxxvecb and (iii) vecbxxveca

If veca=veci-2vecj+veck, vecb=veci+vecj+veck and vecc=veci+2vecj+veck then show that veca.(vecbxxvecc)=(vecaxxvecb).vecc.

A,B,C,D are four pints such that vec(AB)=m(2veci6vecj+2veck), vec(BC)=veci+2vecj and vec(CD)=n(-6veci+15vecj-3veck) . Find the conditions on the scalar m and n so that CD interesects aB at some point H.Also find the area of /_\BCH

If veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + vecj + veck , then find the value of (veca xx vecb).(vecaxxvecc)

If veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + vecj + veck , then find the value of (veca xx vecb).(vecaxxvecc)

Examine whether the vectors veca=2veci+3vecj+2veck, vecb=veci-vecj+2veck and vecc=3veci+2vecj-4veck form a left handed or a righat handed system.

vecA=(2veci+veck),vecB=(veci+vecj+veck) and vecC=4veci-vec3j+7veck determine a vector verR satisfying vecRxxvecB=vecCxxvecB and vecR.vecA=0

HC VERMA-PHYSICS AND MATHEMATICS-Worked Out Examples
  1. A vector has component along the X-axis equal to 25 unit and along the...

    Text Solution

    |

  2. Find the resultant of the three vectors shown in figure (2W1). .

    Text Solution

    |

  3. The sum of the three vectors shown in figure is zero. Find the magnitu...

    Text Solution

    |

  4. The magnitude of vectors vec(OA), vec(OB) and vec (OC) in figure are e...

    Text Solution

    |

  5. Find the resultant of the three vectors vec(OA), vec(OB) and vec(OC) s...

    Text Solution

    |

  6. The resultant of vectors vec(OA) and vec(OB) is peerpendicular to vec(...

    Text Solution

    |

  7. Write the unit vector in the direction of vecA=5veci+vecj-2veck.

    Text Solution

    |

  8. If |veca+vecb|=|veca-vecb| show that veca|vecb.

    Text Solution

    |

  9. IF veca=2veci+3vecj+4veck and vecb =4veci+3vecj+2veck find the angle b...

    Text Solution

    |

  10. If vecA=2veci-3vecj+7veck, vecB=veci+2veck and vecC=vecj-veck find vec...

    Text Solution

    |

  11. The volume of a sphere is given by V= 4/3 pi R^3 where R is the ra...

    Text Solution

    |

  12. Find the derivastive of the following functions with respect to x. a. ...

    Text Solution

    |

  13. Find the maximum or minimum values of the function y=x+1/x for xgt0.

    Text Solution

    |

  14. Figure shows the curve y=x^2. Find the area of the shaded part between...

    Text Solution

    |

  15. Evaluate int^t 0 A sin omega dt where A and omega are constants.

    Text Solution

    |

  16. The velocity v and displacement x of a particle executing simple harmo...

    Text Solution

    |

  17. The charge flown through a circuit in the time interval between t and ...

    Text Solution

    |

  18. Evaluate (21.6002+234+2732.10)xx13.

    Text Solution

    |