Q. 24.3( 21 Votes )

Find the scalar components and magnitude of the vector joining the points P(x1, y1, z1) and Q(x2, y2, z2).

Answer :

Given: points P(x1, y1, z1) and Q(x2, y2, z2) are given.

The vector obtained by joining the given points P and Q:


= position vector of Q – position vector of P




Hence the scalar component of the vector obtained by joining the points are


[(x2-x1), (y2-y1), (z2-z1)]


And the magnitude of the vector obtained by joining the points is



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RELATED QUESTIONS :

Answer the following as true or false.

(i) and are collinear.


(ii) Two collinear vectors are always equal in magnitude.


(iii) Two vectors having same magnitude are collinear.


(iv) Two collinear vectors having the same magnitude are equal.

NCERT - Mathematics Part-II

Answer the following as true or false:

i. and are collinear.


ii. Two collinear vectors are always equal in magnitude.


iii. Zero vector is unique.


iv. Two vectors having same magnitude are collinear.


v. Two collinear vectors having the same magnitude are equal.

RD Sharma - Volume 2