Question

20.
Let u, V, w be three non-zero vectors which are linearly independent, then
O u is linear combination of vand w
O vis linear combination of u and w
w is linear combination of u and v
O none of these​

Answer 1

Given :  u, v, w be three non-zero vectors which are linearly independent,

To find : Correct option

u is linear combination of vand w

v is linear combination of u and w

w is linear combination of u and v

none of these​

Solution:

u is  linearly independent, hence it can not be linear combination

hence  u is linear combination of v and w  is FALSE

v is  linearly independent, hence it can not be linear combination

hence  v is linear combination of u and w  is FALSE

w is  linearly independent, hence it can not be linear combination

hence  w is linear combination of u and v  is FALSE

Hence  none of these​ is correct option

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u, v, w be three non-zero vectors which are linearly independent

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