Home
Class 12
PHYSICS
Find the scalar and vector products of t...

Find the scalar and vector products of two vectors `veca=(2hati-3hatj+4hatk)` and `vecb(hati-2hatj+3hatk)`.

Text Solution

AI Generated Solution

To find the scalar and vector products of the vectors \(\vec{a} = 2\hat{i} - 3\hat{j} + 4\hat{k}\) and \(\vec{b} = \hat{i} - 2\hat{j} + 3\hat{k}\), we will proceed with the following steps: ### Step 1: Calculate the Scalar Product (Dot Product) The scalar (dot) product of two vectors \(\vec{a}\) and \(\vec{b}\) is calculated using the formula: \[ \vec{a} \cdot \vec{b} = a_x b_x + a_y b_y + a_z b_z \] ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos
  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Find the scalar product of vectors veca=2hati-hatj+2hatk and vecb=hati-3hatj-5hatk

The projection of vector veca=2hati+3hatj+2hatk along vecb=hati+2hatj+1hatk is

Projection of the vector veca=2hati+3hatj-2hatk on the vector vecb=hati+2hatj+3hatk is

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors " "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

Find the unit vector perpendicular to the vectors vecA=(hati+2hatj-3hatk)andvecB=(-hati+hatj-hatk)

Find a unit vector perpendicular to the plane of two vectros. veca=hati-hatj+2hatk and vecb=2hati+3hatj-hatk

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .

Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well as vecB=(hati+hatj-hatk)

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

The projection of vector veca=2hati+3hatj+2hatk , on the vector vecb=hati+2hatj+hatk is

AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. Find the scalar and vector products of two vectors veca=(2hati-3hatj+4...

    Text Solution

    |

  2. Two bodies of masses 1kg and 3kg are lying in xy plane at (0,0) and (2...

    Text Solution

    |

  3. Three point masses of 1kg, 2kg and 3kg lie at (0,0), (1,2), (3,-1) res...

    Text Solution

    |

  4. Three particles of masses m,m and 4kg are kept at a verticals of trian...

    Text Solution

    |

  5. Three particles having their masses in the ratio 1 : 3 : 5 are kept at...

    Text Solution

    |

  6. Centre of mass of the system lies inside disc or square plate and why ...

    Text Solution

    |

  7. Two particles of equal mass are moving along the same line with the sa...

    Text Solution

    |

  8. Two particles of equal mass are moving along the same straight line wi...

    Text Solution

    |

  9. A shell following a parabolic path explodes somewhere in its flight. T...

    Text Solution

    |

  10. All the particles are situated at a distance R from the origin. The di...

    Text Solution

    |

  11. Will the velocity and acceleration of centre of mass change if particl...

    Text Solution

    |

  12. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

    Text Solution

    |

  13. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

    Text Solution

    |

  14. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

    Text Solution

    |

  15. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

    Text Solution

    |

  16. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

    Text Solution

    |

  17. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

    Text Solution

    |

  18. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

    Text Solution

    |

  19. What is the angular velocity of a particle lying on the axis of rotati...

    Text Solution

    |

  20. What is the angular acceleration of a particle moving with constant an...

    Text Solution

    |

  21. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

    Text Solution

    |