Home
Class 12
MATHS
if a=2hati+hatj+2hattk and b=5hati-3hatj...

if `a=2hati+hatj+2hattk and b=5hati-3hatj+hatk`, then the projection of 'b' and 'a' is

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `a=2hati+hatj+2hatk`
and `b=5hati-3hatj+hatk`
The projection of b on `a=(a*b)/(|a|)`
`=((2hati+hatj+2hatk)*(5hati-3hatj+hatk))/(sqrt(4+1+4))`
`=(1)/(3)(10-3+2)=3`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 05

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 07

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2( MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

If a=hati-hatj-hatk and b= lambda hati-3hatj+ hatk and the orthogonal projection of b on a is (4)/(3) (hati-hatj-hatk) then lambda is equal to

If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hatj+4hatk , then the direction cosine of AB along Y-axis is

Let a=2hati+3hatj-6hatk, b=2hati-3hatj+6hatk and c=-2hati+3hatj+6hat(k), Let a_1 be the projection of a on b and a_2 be the projection of a_1 and c . Then Q. a_1, b is equal to

Let a=2hati+3hatj-6hatk, b=2hati-3hatj+6hatk and c=-2hati+3hatj+6hat(k), Let a_1 be the projection of a on b and a_2 be the projection of a_1 and c . Then Q. Which of the following is true?

If vecA=2hati+3hatj-hatk and vecB=-hati+3hatj+4hatk then projection of vecA on vecB will be

If a=2hati+2hatj-8hatk and b=hati+3hatj-4hatk , then the magnitude of a+b is equal to

If vecA= (2hati + 3hatj + 5hatk) and vecB = (hati+ 6hatj+6hatk) , then projection of vecA on vecB would be

If a =2hati+3hatj+4hatk and b =4hati+3hatj +2hatk ,find the angel between a and b.

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 06-PAPER 2 (MATHEMATICS)
  1. Let O be the origin and P be the point at a distance 3 units from orig...

    Text Solution

    |

  2. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

  3. the distance of the point (2,3,4) from the line (1-x)=y/2=1/3(1+z)

    Text Solution

    |

  4. An OR gate is the Boolean functionn defined of

    Text Solution

    |

  5. In a college, 25% of the boys and 10% of the girls offer mathematics. ...

    Text Solution

    |

  6. the area of triangle whose vertices are (1,2,3),(2,5-1) and (-1,1,2) i...

    Text Solution

    |

  7. If lim(x to 0)(log(3+x)-log(3-x))/(x)=k, then value of k is

    Text Solution

    |

  8. if a=2hati+hatj+2hattk and b=5hati-3hatj+hatk, then the projection of ...

    Text Solution

    |

  9. Given two mutually exclusive events A and B such that P(A)=0.45 and P(...

    Text Solution

    |

  10. int(3^(x))/(sqrt(9^(x)-1))dx is equal to

    Text Solution

    |

  11. Angle between the line r=(-hati+3hatj+3hatk)+t(2hati+3hatj+6hatk) and ...

    Text Solution

    |

  12. Objective function of an LPP is

    Text Solution

    |

  13. If f(x)=sinx-cosx, the function decreasing in 0 le x le 2pi is

    Text Solution

    |

  14. int(cos2x-1)/(cos2x+1)dx is equal to

    Text Solution

    |

  15. If theta is the angle between the vectors a=2hati+2hatj-hatk and b=6ha...

    Text Solution

    |

  16. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

    Text Solution

    |

  17. The equation of the plane passing through the point A(2,3,4) and paral...

    Text Solution

    |

  18. The value of lim(x to 2) (3^(x//2)-3)/(x^(3)-9) is

    Text Solution

    |

  19. The minimum value of linear objective function z=2x+2y under linear co...

    Text Solution

    |

  20. In the adjoining circuit, the output of s is

    Text Solution

    |