# Answer to Question #59656 in Other Physics for muhammad umar

Question #59656

If r4=r1+r2+r3, which of the vectors are linearly dependent?

a)r1

b)r3

c)r4

d)r2

a)r1

b)r3

c)r4

d)r2

Expert's answer

c) r4

If you can represent the sum of given vectors r1,r2 and r3 by a single vector r4 i.e. r4= r1+ r2+ r3.

Then you can say r4 is linearly dependent on r1, r2 and r3 and that r1, r2 ,r3 and r4 constitute a linearly dependent set of vectors. On the other hand r1, r2 and r3 are linearly independent vectors

If you can represent the sum of given vectors r1,r2 and r3 by a single vector r4 i.e. r4= r1+ r2+ r3.

Then you can say r4 is linearly dependent on r1, r2 and r3 and that r1, r2 ,r3 and r4 constitute a linearly dependent set of vectors. On the other hand r1, r2 and r3 are linearly independent vectors

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