Q. 64.0( 43 Votes )

# Find a vector of magnitude 5 units, and parallel to the resultant of the vectors and

Answer :

Given:

Let the resultant of

Then

Then

Now the vector of magnitude 5 units and parallel to is:

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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are externally in the ratio 1 : 2. Also, show that P is the midpoint of the line segment RQ.

NCERT - Mathematics Part-IIAnswer 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.

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i. and are collinear.

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iii. Zero vector is unique.

iv. Two vectors having same magnitude are collinear.

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