Home
Class 12
MATHS
Let veca,vecb and vecc be three vectors ...

Let `veca,vecb and vecc` be three vectors having magnitudes `1, 1 and 2` respectively. If `vecaxx(vecaxxvecc)+vecb=vec0,` the acute angle between `veca and vecc` is

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Level-1 Single Correct Answer Type Questions)|33 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Level-2 Single Correct Answer Type Questions)|25 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 resectively. If vecaxx(vecaxxvecc)+vecb=vec0 then the acute angel between veca and vecc is

Let veca, vecb and vecc be three having magnitude 1,1 and 2 respectively such that vecaxx(vecaxxvecc)+vecb=vec0 , then the acute angle between veca and vecc is

If veca, vecb, vecc be three vectors of magnitude sqrt(3),1,2 such that vecaxx(vecaxxvecc)+3vecb=vec0 if theta angle between veca and vecc then cos^(2)theta is equal to

Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 and 3, respectively, such that the angle between veca and vecb "is" theta and veca xx (veca xxvecb)=vecc . Then tan theta is equal to

If vecA xx vecB= vec0 and vecB xx vecC=vec0 , then the angle between vecA and vecC may be :

If veca, vecb, vecc are mutually perpendicular vectors having magnitude 1,2,3 respectively, then [vec(a)+vecb+vecc, vecb-veca, vecc] =

Three vectors veca,vecb , vecc with magnitude sqrt2,1,2 respectively follows the relation veca=vecbxx(vecbxxvecc) the acute angle between the vectors vecb and vecc is theta . then find the value of 1+tantheta is

The magnitudes of vectors vecA,vecB and vecC are 3,4 and 5 units respectively. If vecA+vecB= vecC , the angle between vecA and vecB is

Let veca, vecb and vecc be non-zero vectors such that no two are collinear and (vecaxxvecb)xxvecc=1/3 |vecb||vecc|veca if theta is the acute angle between vectors vecb and vecc then find value of sin theta .

vecA, vecB" and "vecC are three orthogonal vectors with magnitudes 3, 4 and 12 respectively. The value of |vecA-vecB+vecC| will be :-

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Numerical Answer Type Questions)
  1. Suppose a and b are two unit vectors and theta is acute angle between ...

    Text Solution

    |

  2. The vector a, b and c are such tha |a|=|b| = 1 and |c|= 2 (ii) a ...

    Text Solution

    |

  3. Let a=2i-3j+4k, b=i+2j-2k " and "c=3i-j+k. Let V be, the volume (in cu...

    Text Solution

    |

  4. If A(3i-2j-k), B(2i+3j-4k), C(-i+j+2k)" and "D(4i+5j+lambdak) are copl...

    Text Solution

    |

  5. Suppose a+x^(2)b+y^(2)c=0" and "a times b+c times a=16(b times c), the...

    Text Solution

    |

  6. Let veca,vecb and vecc be three vectors having magnitudes 1, 1 and 2 r...

    Text Solution

    |

  7. Suppose ABC is a right angled triangle with angleC=pi//2. If abs(AB)=5...

    Text Solution

    |

  8. Let a=5i+4j-k, b=-4i+j+5k, c=i+3j-k. Let alpha be a vector perpendicul...

    Text Solution

    |

  9. If the volume of parallelopiped whose coterminous edges are a=i+j+2k, ...

    Text Solution

    |

  10. Suppose P=(x+1)i+xj+xk, Q=x""i+(x+1)j+xk, k=x""i+xj+(x+1)k are coplana...

    Text Solution

    |

  11. Let abs(a)=sqrt(3), abs(b)=5, b*c=10, angle between b and c is equal t...

    Text Solution

    |

  12. Let a,b,c be three vectors such that a ne 0 and a xx b = 2a xx c,|a|...

    Text Solution

    |

  13. Let a=i-2j+3k. If b is a vector such that a*b=abs(b)^(2)" and "abs(a-b...

    Text Solution

    |

  14. Suppose the diagonals of a parallelogram are represented by vectors i+...

    Text Solution

    |

  15. Let a be vector, such that abs(a)=5. Then abs(a*i)^(2)+abs(a*j)^(2)+ab...

    Text Solution

    |

  16. If vecr=l(vecb xx vecc)+m(vecc xx veca)+n(veca xx vec b) and [veca, v...

    Text Solution

    |

  17. Suppose a=5i-3j+2k, b=-i+2j+3k, c=7i-18j+21k," then "[a-b" "b-c" "c-a]...

    Text Solution

    |

  18. If a=2i-3j+5k, b=3i-4j+5k" and "c=5i-3j-2k then volume of the parallel...

    Text Solution

    |

  19. Suppose a, b, c are three unit vectors such that " "abs(a-b)^(2)...

    Text Solution

    |

  20. If 4x+3y+12z=26, x, y, z, in R, then minimum possible value of x^(2)+y...

    Text Solution

    |