Let , and be three non - zero vectors such that no two of these are collinear. If the vector is collinear with , is collinear with then is equals to
Explanation for correct answer:
Finding :
If any two vectors are collinear, then
Given,
, and be three non-zero vectors such that no two of these are collinear
is collinear with
is collinear with
Finding
Add in equation
Multiplying by and then in equation
Equating equation
Since, are non-collinear.
Therefore,
substitute this value in equation
Then,
Hence, option (D) is the correct answer