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Chapter 10 Vector Algebra Ex 10.2 Solutions

Question - 11 : -

Show that thevectorsare collinear.

Answer - 11 : -

Firstly,

Therefore, we can say that the given vectors are collinear.

Question - 12 : - Find the direction cosines of the vector 

Answer - 12 : -

Firstly,

Question - 13 : -

Find the directioncosines of the vector joining the points A (1, 2, –3) and B (–1, –2, 1)directed from A to B.

Answer - 13 : -

We know that the

Given points are A (1, 2, –3) and B (–1, –2, 1).

Now,

Question - 14 : - Show that the vector is equally inclined to the axesOX, OY, and OZ

Answer - 14 : -

Firstly,

Question - 15 : -

Find the positionvector of a point R which divides the line joining two points P and Q whoseposition vectors are  respectively, in the ratio2:1

(i) internally

(ii) externally

Answer - 15 : -

We know that

The position vector of point R dividing the line segment joiningtwo points

P and Q in the ratio m: n is given by:

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