Home
Class 12
MATHS
Find the scalar components and magnitude...

Find the scalar components and magnitude of the vector joining the points `P(x_(1),y_(1),z_(1))andQ(x_(2),y_(2),z_(2))`.

Text Solution

Verified by Experts

The correct Answer is:
`x_(2)-x_(1),y_(2)-y_(1),z_(2)-z_(1);sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)+(z_(2)-z_(1))^(2))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.4|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

The coordinates of any point on the line-segment joining the points ( x _(1) ,y_(1) , z_(1)) and (x_(2), y_(2),z_(2)) are ((x_(1)+kx_(2))/(k + 1),(y _(1) + ky_(2))/(k + 1),(z_(1)+kz_(2))/(k + 1)) , then the value of k will be _

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

Show that the plane ax + by + cz + d = 0 divides, the line segment joining the points (x_1, y_1, z_1) and (x_2, y_2, z_2) in the- ratio -(ax_1+by_1+cz_1+d)/(ax_2+by_2+cz_2+d) .

Show that the plane ax+by+ca+d=0 divides the line joining the points (x_1,y_1,z_1) & (x_2,y_2,z_2) in the ratio - (ax_1+by_1+cz_1+d_1)/(ax_2+by_2+cz_2+d_2)

The coordinates of centroid of the trianle formed by joining the points (x,-1,-2),(-2,y,8) and (2,-4,z) are (1,0,3) find the values of x,y and z.

Prove that if P(x,y) be any point on the line segment joining P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2)) then x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1)) , where bar (P_(1)P), bar (P_(1)P_(2))=k What conclusion can you draw about the position of P if k=(1)/(2) ?

Prove that if P(x,y) be any point on the line segment joining P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2)) then x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1)) , where bar (P_(1)P), bar (P_(1)P_(2))=k What conclusion can you draw about the position of P if 0 lt k lt 1

Prove that if P(x,y) be any point on the line segment joining P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2)) then x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1)) , where bar (P_(1)P), bar (P_(1)P_(2))=k What conclusion can you draw about the position of P if k gt 1

Prove that if P(x,y) be any point on the line segment joining P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2)) then x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1)) , where bar (P_(1)P), bar (P_(1)P_(2))=k What conclusion can you draw about the position of P if k=1

Prove that if P(x,y) be any point on the line segment joining P_(1)(x_(1),y_(1)) and P_(2) (x_(2),y_(2)) then x=x_(1)+k(x_(2)-x_(1)) and y=y_(1)+k(y_(2)-y_(1)) , where bar (P_(1)P), bar (P_(1)P_(2))=k What conclusion can you draw about the position of P if k=0

NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

  2. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  4. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

  5. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

    Text Solution

    |

  6. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  7. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

  8. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , ...

    Text Solution

    |

  9. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  10. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

  11. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  12. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  13. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  14. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  15. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  16. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  17. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  18. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

    Text Solution

    |

  19. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |