Question

Only those who have completed vectors of math for jee .....please answer if you know k1a+k2b=0 , where a, b are vectors and k1, k2 are scalars .. .....the above linear combination is said to be linear dependent when either of the one from both that is k1a or k2b is not zero then...........But my question is that if either of the one is not zero then how can the linear combination or the sum of both be zero.​

Answer 1

Answer:

It is possible when both vectors are parallel vectors .

Example

i + (-1/2)(2i) = 0

Here k1 and k2 are not zero ( they are 1 , -1/2 ) but sum is .

Answer 2

It is possible when both vectors are parallel vectors.

For example,

i + ( - 1/2 )( 2i ) = 0

Here k1 and k2 are not zero ( they are 1, - 1/2 ) but the sum is zero.