Home
Class 12
MATHS
Three vectors veca, vecb and vecc satisf...

Three vectors `veca, vecb` and `vecc` satisfy the condition `veca + vecb + vecc = 0`. Find the value of `veca.vecb + vecb.vecc + vecc.veca` if `|veca| = 1, |vecb|= 4, |vecc|= 2`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-3

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

  • MODEL QUESTION PAPER-5

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc = vec0 , find the value of veca.vecb+vecb.vecc+vecc.veca .

If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).

|veca| = |vecb| = veca = vecb .

If abs(veca)=3,abs( vecb)=1,abs(vecc)=4 and veca+vecb+vecc=0, find the value of veca*vecb+vecb*vecc+vecc*veca.

If veca.vecb = vecc.veca for all vectors veca , then

Find the angle between veca and vecb if |vecaxxvecb| = veca.vecb

If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find the angle between veca and vecb .

If (veca + vecb).(veca-vecb) = 0 show that |veca| = |vecb| .

If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|vecc|=13 and veca+vecb+vecc=0 then find the value of veca.vecb+vecb.vecc+vecc.veca.

If two vectors veca and vecb are such that |veca| = 3, |vecb| = 2 and veca.vecb = 6, find |veca+vecb| and |veca-vecb| .

SHARAM PUBLICATION-MODEL QUESTION PAPER-4-EXERCISE
  1. Find the equation of planes passing throught the points (1,2,3),(1,-4,...

    Text Solution

    |

  2. If A and B are square matrices of same order, then show by means of an...

    Text Solution

    |

  3. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  4. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

    Text Solution

    |

  5. Find the inverse of [(2,-1),(1,3)].

    Text Solution

    |

  6. Evaluate int tan^-1 sqrt((1-x)/(1+x))dx

    Text Solution

    |

  7. Evaluate int (e^x-1)/(e^x+1) dx

    Text Solution

    |

  8. Evaluate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  9. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

    Text Solution

    |

  10. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

    Text Solution

    |

  11. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  12. Find (dy)/(dx) if x^y = y^x.

    Text Solution

    |

  13. Show that the rectangle of maximum area that can be inscribed in a giv...

    Text Solution

    |

  14. Evaluate int0^ pi x/(1+ sin x) dx

    Text Solution

    |

  15. Find the area of region in the first quadrant enclosed by the X-axis, ...

    Text Solution

    |

  16. Solve the following differential equation (2x + y + 1) dx + (4x + 2y —...

    Text Solution

    |

  17. Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...

    Text Solution

    |

  18. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

    Text Solution

    |

  19. If a, b and c are all positive real, then prove that minimum value of ...

    Text Solution

    |

  20. Three vectors veca, vecb and vecc satisfy the condition veca + vecb + ...

    Text Solution

    |