Home
Class 12
MATHS
If vec a= hat a= hat i-\ hat j+7 hat k...

If ` vec a= hat a= hat i-\ hat j+7 hat k` and ` vec b=5 hat j-\ hat j+lambda hat k` , then find the value of `lambda,` so that ` vec a+ vec b` and ` vec a- vec b` are perpendicular vectors.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Let vec a=5hat i-hat j+7hat k and vec b=hat i-hat j+lambdahat k Find lambda such that vec a+vec b is orthogonal to vec a-vec b.

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| then the value of lambda is

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| , then the value of lambda is

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec(a)=5hat(i)-hat(j)+7hat(k) and vec(b)=hat(i)-hat(j)-lambda hat(k) , find the value of lambda for which (vec(a)+vec(b)) and (vec(a)-vec(b)) are orthogonal.

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

Let vec a=5hat i-hat j+7hat k and vec b=hat i-hat j+lambdahat k Find lambda such that vec a+vec b is orthogonal to vec a-vec b

If vec(a)=3hat(i)+hat(j)+9hat(k) and vec(b)=hat(i)+lambda hat(j)+3hat(k) , then find the value of 'lambda' for which the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) are perpendicular to each other.

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the particular solution of the differential equation(tan^(-1)y-x)...

    Text Solution

    |

  2. Using elementary transformations, find the inverse of the matrix : [...

    Text Solution

    |

  3. If vec a= hat a= hat i-\ hat j+7 hat k and vec b=5 hat j-\ hat j+l...

    Text Solution

    |

  4. Use product [[1,-1, 2],[ 0, 2,-3],[ 3,-2, 4]] [[-2, 0, 1],[ 9, 2,-3],[...

    Text Solution

    |

  5. Find the angle between the line (x+1)/2=(3y+5)/9=(3-z)/(-6) and the ...

    Text Solution

    |

  6. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

    Text Solution

    |

  7. Solve the following differential equation: e^xtany\ dx+(1-e^x)sec^2y...

    Text Solution

    |

  8. Find the value of a for which the function f defined by f9x)={asinpi/...

    Text Solution

    |

  9. int2/((1-x)(1+x^2))dx

    Text Solution

    |

  10. Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by...

    Text Solution

    |

  11. Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot

    Text Solution

    |

  12. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

    Text Solution

    |

  13. Write the principal value of t a n^(-1)[t a n(3pi)/4]dot

    Text Solution

    |

  14. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  15. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

    Text Solution

    |

  16. A small firm manufactures gold rings and chains. The total number o...

    Text Solution

    |

  17. Find the particular solution of the differential equation satisfyin...

    Text Solution

    |

  18. Find the points on the curve y=x^3 at which the slope of the tangen...

    Text Solution

    |

  19. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

    Text Solution

    |

  20. Using properties of determinants, show the following: |[(b+c)^2,ab, ...

    Text Solution

    |